Skip to main content
SpringerLink
Account
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Journal of High Energy Physics
  3. Article

Integrable supersymmetric deformations of AdS3 × S3 × T4

  • Regular Article - Theoretical Physics
  • Open access
  • Published: 02 September 2022
  • volume 2022, Article number: 18 (2022)
Download PDF

You have full access to this open access article

Journal of High Energy Physics Aims and scope Submit manuscript
Integrable supersymmetric deformations of AdS3 × S3 × T4
Download PDF
  • Ben Hoare1,
  • Fiona K. Seibold  ORCID: orcid.org/0000-0002-9607-54662 &
  • Arkady A. Tseytlin2 

  • 129 Accesses

  • 2 Citations

  • 1 Altmetric

  • Explore all metrics

Cite this article

A preprint version of the article is available at arXiv.

Abstract

We construct a family of type IIB string backgrounds that are deformations of AdS3 × S3 × T4 with a “squashed” AdS3 × S3 metric supported by a combination of NSNS and RR fluxes. They have global SU(1, 1) × SU(2) symmetry, regular curvature, constant dilaton and preserve 8 supercharges. Upon compactification to 4 dimensions they reduce to \( \mathcal{N} \) = 2 supersymmetric AdS2 × S2 solutions with electric and magnetic Maxwell fluxes. These type IIB supergravity solutions can be found from the undeformed AdS3 × S3 × T4 background by a combination of T-dualities and S-duality. In contrast to T-duality, S-duality transformations of a type IIB supergravity background do not generally preserve the classical integrability of the corresponding Green-Schwarz superstring sigma model. Nevertheless, we show that integrability is preserved in the present case. Indeed, we find that these backgrounds can be obtained, up to T-dualities, from an integrable inhomogeneous Yang-Baxter deformation (with unimodular Drinfel’d-Jimbo R-matrix) of the original AdS3 × S3 supercoset model.

Article PDF

Download to read the full article text

Use our pre-submission checklist

Avoid common mistakes on your manuscript.

References

  1. J.G. Russo and A.A. Tseytlin, Exactly solvable string models of curved space-time backgrounds, Nucl. Phys. B 449 (1995) 91 [hep-th/9502038] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. A.A. Tseytlin, Exact solutions of closed string theory, Class. Quant. Grav. 12 (1995) 2365 [hep-th/9505052] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. J.M. Maldacena and J.G. Russo, Large N limit of noncommutative gauge theories, JHEP 09 (1999) 025 [hep-th/9908134] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  4. O. Lunin and J.M. Maldacena, Deforming field theories with U(1) × U(1) global symmetry and their gravity duals, JHEP 05 (2005) 033 [hep-th/0502086] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  5. S.A. Frolov, R. Roiban and A.A. Tseytlin, Gauge-string duality for superconformal deformations of N = 4 super Yang-Mills theory, JHEP 07 (2005) 045 [hep-th/0503192] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. S. Frolov, Lax pair for strings in Lunin-Maldacena background, JHEP 05 (2005) 069 [hep-th/0503201] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  7. L.F. Alday, G. Arutyunov and S. Frolov, Green-Schwarz strings in TsT-transformed backgrounds, JHEP 06 (2006) 018 [hep-th/0512253] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  8. D. Orlando, S. Reffert, Y. Sekiguchi and K. Yoshida, O(d, d) transformations preserve classical integrability, Nucl. Phys. B 950 (2020) 114880 [arXiv:1907.03759] [INSPIRE].

  9. A. Babichenko, B. Stefanski, Jr. and K. Zarembo, Integrability and the AdS3/CFT2 correspondence, JHEP 03 (2010) 058 [arXiv:0912.1723] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  10. A. Sfondrini, Towards integrability for AdS3/CFT2, J. Phys. A 48 (2015) 023001 [arXiv:1406.2971] [INSPIRE].

  11. O. Ohlsson Sax and B. Stefański, Closed strings and moduli in AdS3/CFT2, JHEP 05 (2018) 101 [arXiv:1804.02023] [INSPIRE].

  12. F. Delduc, B. Hoare, T. Kameyama, S. Lacroix and M. Magro, Three-parameter integrable deformation of ℤ4 permutation supercosets, JHEP 01 (2019) 109 [arXiv:1811.00453] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. B. Hoare and F.K. Seibold, Supergravity backgrounds of the η-deformed AdS2 × S2 × T6 and AdS5 × S5 superstrings, JHEP 01 (2019) 125 [arXiv:1811.07841] [INSPIRE].

    Article  ADS  Google Scholar 

  14. F.K. Seibold, Two-parameter integrable deformations of the AdS3 × S3 × T4 superstring, JHEP 10 (2019) 049 [arXiv:1907.05430] [INSPIRE].

    Article  ADS  Google Scholar 

  15. B. Hoare, R. Roiban and A.A. Tseytlin, On deformations of AdSn × Sn supercosets, JHEP 06 (2014) 002 [arXiv:1403.5517] [INSPIRE].

    Article  ADS  Google Scholar 

  16. B. Hoare, Integrable deformations of sigma models, J. Phys. A 55 (2022) 093001 [arXiv:2109.14284] [INSPIRE].

  17. G. Arutyunov, R. Borsato and S. Frolov, Puzzles of η-deformed AdS5 × S5, JHEP 12 (2015) 049 [arXiv:1507.04239] [INSPIRE].

    ADS  Google Scholar 

  18. G. Arutyunov, S. Frolov, B. Hoare, R. Roiban and A.A. Tseytlin, Scale invariance of the η-deformed AdS5 × S5 superstring, T-duality and modified type-II equations, Nucl. Phys. B 903 (2016) 262 [arXiv:1511.05795] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  19. L. Wulff and A.A. Tseytlin, Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations, JHEP 06 (2016) 174 [arXiv:1605.04884] [INSPIRE].

    ADS  MathSciNet  MATH  Google Scholar 

  20. J. Rahmfeld and A. Rajaraman, The GS string action on AdS3 × S3 with Ramond-Ramond charge, Phys. Rev. D 60 (1999) 064014 [hep-th/9809164] [INSPIRE].

  21. J. Park and S.-J. Rey, Green-Schwarz superstring on AdS3 × S3, JHEP 01 (1999) 001 [hep-th/9812062] [INSPIRE].

    ADS  Google Scholar 

  22. N. Berkovits, C. Vafa and E. Witten, Conformal field theory of AdS background with Ramond-Ramond flux, JHEP 03 (1999) 018 [hep-th/9902098] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. R.R. Metsaev and A.A. Tseytlin, Superparticle and superstring in AdS3 × S3 Ramond-Ramond background in light cone gauge, J. Math. Phys. 42 (2001) 2987 [hep-th/0011191] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. L. Wulff, Superisometries and integrability of superstrings, JHEP 05 (2014) 115 [arXiv:1402.3122] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  25. S.F. Hassan and A. Sen, Marginal deformations of WZNW and coset models from O(d, d) transformation, Nucl. Phys. B 405 (1993) 143 [hep-th/9210121] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  26. A. Giveon and E. Kiritsis, Axial vector duality as a gauge symmetry and topology change in string theory, Nucl. Phys. B 411 (1994) 487 [hep-th/9303016] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  27. M. Cvetič and A.A. Tseytlin, Sigma model of near extreme rotating black holes and their microstates, Nucl. Phys. B 537 (1999) 381 [hep-th/9806141] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  28. R. Manvelyan, On marginal deformation of WZNW model and PP wave limit of deformed AdS3 × S3 string geometry, Mod. Phys. Lett. A 18 (2003) 1531 [hep-th/0206218] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  29. I.V. Cherednik, Relativistically Invariant Quasiclassical Limits of Integrable Two-dimensional Quantum Models, Theor. Math. Phys. 47 (1981) 422 [INSPIRE].

  30. S. Demulder, S. Driezen, A. Sevrin and D.C. Thompson, Classical and Quantum Aspects of Yang-Baxter Wess-Zumino Models, JHEP 03 (2018) 041 [arXiv:1711.00084] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. D. Schubring and M. Shifman, Sigma model on a squashed sphere with a Wess-Zumino term, Phys. Rev. D 103 (2021) 025016 [arXiv:2002.04696] [INSPIRE].

  32. N. Levine and A.A. Tseytlin, Integrability vs. RG flow in G × G and G × G/H sigma models, JHEP 05 (2021) 076 [arXiv:2103.10513] [INSPIRE].

  33. I. Kawaguchi and K. Yoshida, Hidden Yangian symmetry in sigma model on squashed sphere, JHEP 11 (2010) 032 [arXiv:1008.0776] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  34. I. Kawaguchi, D. Orlando and K. Yoshida, Yangian symmetry in deformed WZNW models on squashed spheres, Phys. Lett. B 701 (2011) 475 [arXiv:1104.0738] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  35. D. Orlando and L.I. Uruchurtu, Warped anti-de Sitter spaces from brane intersections in type-II string theory, JHEP 06 (2010) 049 [arXiv:1003.0712] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  36. D. Orlando and L.I. Uruchurtu, Integrable Superstrings on the Squashed Three-sphere, JHEP 10 (2012) 007 [arXiv:1208.3680] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  37. M.J. Duff, H. Lü and C.N. Pope, AdS3 × S3 (un)twisted and squashed, and an O(2, 2, Z) multiplet of dyonic strings, Nucl. Phys. B 544 (1999) 145 [hep-th/9807173] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  38. O. Lunin, R. Roiban and A.A. Tseytlin, Supergravity backgrounds for deformations of AdSn × Sn supercoset string models, Nucl. Phys. B 891 (2015) 106 [arXiv:1411.1066] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  39. F. Delduc, M. Magro and B. Vicedo, An integrable deformation of the AdS5 × S5 superstring action, Phys. Rev. Lett. 112 (2014) 051601 [arXiv:1309.5850] [INSPIRE].

  40. T.J. Hollowood, J.L. Miramontes and D.M. Schmidtt, An Integrable Deformation of the AdS5 × S5 Superstring, J. Phys. A 47 (2014) 495402 [arXiv:1409.1538] [INSPIRE].

  41. S.A. Frolov, R. Roiban and A.A. Tseytlin, Gauge-string duality for (non)supersymmetric deformations of N = 4 super Yang-Mills theory, Nucl. Phys. B 731 (2005) 1 [hep-th/0507021] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  42. I. Bena, J. Polchinski and R. Roiban, Hidden symmetries of the AdS5 × S5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116] [INSPIRE].

  43. I. Adam, A. Dekel, L. Mazzucato and Y. Oz, Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions, JHEP 06 (2007) 085 [hep-th/0702083] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  44. L. Wulff, Classifying integrable symmetric space strings via factorized scattering, JHEP 02 (2018) 106 [arXiv:1711.00296] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  45. K. Zarembo, Integrability in Sigma-Models, arXiv:1712.07725 [INSPIRE].

  46. T. Matsumoto and K. Yoshida, Yang-Baxter deformations and string dualities, JHEP 03 (2015) 137 [arXiv:1412.3658] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  47. S.J. van Tongeren, Unimodular Jordanian deformations of integrable superstrings, SciPost Phys. 7 (2019) 011 [arXiv:1904.08892] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  48. R. Borsato and L. Wulff, Target space supergeometry of η and λ-deformed strings, JHEP 10 (2016) 045 [arXiv:1608.03570] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  49. A. Cagnazzo and K. Zarembo, B-field in AdS3/CFT2 Correspondence and Integrability, JHEP 11 (2012) 133 [Erratum ibid. 04 (2013) 003] [arXiv:1209.4049] [INSPIRE].

  50. D.D.K. Chow, C.N. Pope and E. Sezgin, Classification of solutions in topologically massive gravity, Class. Quant. Grav. 27 (2010) 105001 [arXiv:0906.3559] [INSPIRE].

  51. I.V. Lavrinenko, H. Lü, C.N. Pope and T.A. Tran, U duality as general coordinate transformations, and space-time geometry, Int. J. Mod. Phys. A 14 (1999) 4915 [hep-th/9807006] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  52. M.J. Duff, H. Lü and C.N. Pope, AdS5 × S5 untwisted, Nucl. Phys. B 532 (1998) 181 [hep-th/9803061] [INSPIRE].

    Article  ADS  Google Scholar 

  53. S.F. Hassan, T duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys. B 568 (2000) 145 [hep-th/9907152] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  54. M. Cvetič, H. Lü, C.N. Pope and K.S. Stelle, Linearly realised world sheet supersymmetry in pp wave background, Nucl. Phys. B 662 (2003) 89 [hep-th/0209193] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  55. G. Papadopoulos and D. Tsimpis, The Holonomy of IIB supercovariant connection, Class. Quant. Grav. 20 (2003) L253 [hep-th/0307127] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  56. H. Lü, C.N. Pope and J. Rahmfeld, A Construction of Killing spinors on Sn, J. Math. Phys. 40 (1999) 4518 [hep-th/9805151] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  57. C. Klimčík, Yang-Baxter sigma models and dS/AdS T duality, JHEP 12 (2002) 051 [hep-th/0210095] [INSPIRE].

    Article  ADS  Google Scholar 

  58. E. Alvarez, L. Álvarez-Gaumé and Y. Lozano, On nonAbelian duality, Nucl. Phys. B 424 (1994) 155 [hep-th/9403155] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  59. S. Elitzur, A. Giveon, E. Rabinovici, A. Schwimmer and G. Veneziano, Remarks on nonAbelian duality, Nucl. Phys. B 435 (1995) 147 [hep-th/9409011] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  60. N. Beisert and P. Koroteev, Quantum Deformations of the One-Dimensional Hubbard Model, J. Phys. A 41 (2008) 255204 [arXiv:0802.0777] [INSPIRE].

  61. B. Hoare, T.J. Hollowood and J.L. Miramontes, q-Deformation of the AdS5 × S5 Superstring S-matrix and its Relativistic Limit, JHEP 03 (2012) 015 [arXiv:1112.4485] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  62. G. Arutyunov, R. Borsato and S. Frolov, S-matrix for strings on η-deformed AdS5 × S5, JHEP 04 (2014) 002 [arXiv:1312.3542] [INSPIRE].

    Article  ADS  Google Scholar 

  63. F.K. Seibold, S.J. Van Tongeren and Y. Zimmermann, The twisted story of worldsheet scattering in η-deformed AdS5 × S5, JHEP 12 (2020) 043 [arXiv:2007.09136] [INSPIRE].

    Article  ADS  Google Scholar 

  64. F.K. Seibold and A. Sfondrini, Bethe ansatz for quantum-deformed strings, JHEP 12 (2021) 015 [arXiv:2109.08510] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  65. B. Hoare, Towards a two-parameter q-deformation of AdS3 × S3 × M4 superstrings, Nucl. Phys. B 891 (2015) 259 [arXiv:1411.1266] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  66. F. Delduc, B. Hoare, T. Kameyama and M. Magro, Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable σ-model, JHEP 10 (2017) 212 [arXiv:1707.08371] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  67. C. Klimčík, Dressing cosets and multi-parametric integrable deformations, JHEP 07 (2019) 176 [arXiv:1903.00439] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  68. C. Klimčík, On integrability of the Yang-Baxter sigma-model, J. Math. Phys. 50 (2009) 043508 [arXiv:0802.3518] [INSPIRE].

  69. F. Delduc, M. Magro and B. Vicedo, Integrable double deformation of the principal chiral model, Nucl. Phys. B 891 (2015) 312 [arXiv:1410.8066] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  70. I.R. Klebanov and A.A. Tseytlin, Intersecting M-branes as four-dimensional black holes, Nucl. Phys. B 475 (1996) 179 [hep-th/9604166] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  71. D. Sorokin, A. Tseytlin, L. Wulff and K. Zarembo, Superstrings in AdS2 × S2 × T6, J. Phys. A 44 (2011) 275401 [arXiv:1104.1793] [INSPIRE].

  72. H. Lü, C.N. Pope, T.A. Tran and K.W. Xu, Classification of p-branes, NUTs, waves and intersections, Nucl. Phys. B 511 (1998) 98 [hep-th/9708055] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  73. M. Cvetič, C.N. Pope and A. Saha, Conformal symmetries for extremal black holes with general asymptotic scalars in STU supergravity, JHEP 09 (2021) 188 [arXiv:2102.02826] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  74. M. Cvetič and A.A. Tseytlin, Solitonic strings and BPS saturated dyonic black holes, Phys. Rev. D 53 (1996) 5619 [Erratum ibid. 55 (1997) 3907] [hep-th/9512031] [INSPIRE].

  75. K.-L. Chan, Supersymmetric dyonic black holes of IIA string on six torus, Nucl. Phys. B 500 (1997) 94 [hep-th/9610005] [INSPIRE].

    Article  ADS  Google Scholar 

  76. D. Brecher, A. Chamblin and H.S. Reall, AdS/CFT in the infinite momentum frame, Nucl. Phys. B 607 (2001) 155 [hep-th/0012076] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  77. M. Kruczenski and A.A. Tseytlin, Spiky strings, light-like Wilson loops and pp-wave anomaly, Phys. Rev. D 77 (2008) 126005 [arXiv:0802.2039] [INSPIRE].

  78. G.T. Horowitz and A.A. Tseytlin, A New class of exact solutions in string theory, Phys. Rev. D 51 (1995) 2896 [hep-th/9409021] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  79. M. Cvetič and A.A. Tseytlin, General class of BPS saturated dyonic black holes as exact superstring solutions, Phys. Lett. B 366 (1996) 95 [hep-th/9510097] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  80. S. El-Showk and M. Guica, Kerr/CFT, dipole theories and nonrelativistic CFTs, JHEP 12 (2012) 009 [arXiv:1108.6091] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  81. I. Bena, M. Guica and W. Song, Un-twisting the NHEK with spectral flows, JHEP 03 (2013) 028 [arXiv:1203.4227] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  82. B. Hoare and S.J. van Tongeren, On Jordanian deformations of AdS5 and supergravity, J. Phys. A 49 (2016) 434006 [arXiv:1605.03554] [INSPIRE].

  83. I. Kawaguchi, T. Matsumoto and K. Yoshida, A Jordanian deformation of AdS space in type IIB supergravity, JHEP 06 (2014) 146 [arXiv:1402.6147] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  84. B. Hoare and A.A. Tseytlin, Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS5 σ-model, J. Phys. A 49 (2016) 494001 [arXiv:1609.02550] [INSPIRE].

  85. R. Borsato and L. Wulff, On non-abelian T-duality and deformations of supercoset string sigma-models, JHEP 10 (2017) 024 [arXiv:1706.10169] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  86. T. Matsumoto and K. Yoshida, Schrödinger geometries arising from Yang-Baxter deformations, JHEP 04 (2015) 180 [arXiv:1502.00740] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  87. A.A. Tseytlin, Composite BPS configurations of p-branes in ten-dimensions and eleven-dimensions, Class. Quant. Grav. 14 (1997) 2085 [hep-th/9702163] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  88. K. Sfetsos and A.A. Tseytlin, Four-dimensional plane wave string solutions with coset CFT description, Nucl. Phys. B 427 (1994) 245 [hep-th/9404063] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  89. M. Blau, J.M. Figueroa-O’Farrill, C. Hull and G. Papadopoulos, Penrose limits and maximal supersymmetry, Class. Quant. Grav. 19 (2002) L87 [hep-th/0201081] [INSPIRE].

  90. D.E. Berenstein, J.M. Maldacena and H.S. Nastase, Strings in flat space and pp waves from N = 4 superYang-Mills, JHEP 04 (2002) 013 [hep-th/0202021] [INSPIRE].

    Article  ADS  Google Scholar 

  91. B. Hoare and A.A. Tseytlin, On string theory on AdS3 × S3 × T4 with mixed 3-form flux: tree-level S-matrix, Nucl. Phys. B 873 (2013) 682 [arXiv:1303.1037] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  92. B. Hoare, A. Stepanchuk and A.A. Tseytlin, Giant magnon solution and dispersion relation in string theory in AdS3 × S3 × T4 with mixed flux, Nucl. Phys. B 879 (2014) 318 [arXiv:1311.1794] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  93. T. Lloyd, O. Ohlsson Sax, A. Sfondrini and B. Stefański, Jr., The complete worldsheet S matrix of superstrings on AdS3 × S3 × T4 with mixed three-form flux, Nucl. Phys. B 891 (2015) 570 [arXiv:1410.0866] [INSPIRE].

  94. M. Bocconcello, I. Masuda, F.K. Seibold and A. Sfondrini, S matrix for a three-parameter integrable deformation of AdS3 × S3 strings, JHEP 11 (2020) 022 [arXiv:2008.07603] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  95. M. Baggio and A. Sfondrini, Strings on NS-NS Backgrounds as Integrable Deformations, Phys. Rev. D 98 (2018) 021902 [arXiv:1804.01998] [INSPIRE].

  96. F.K. Seibold, S.J. van Tongeren and Y. Zimmermann, On quantum deformations of AdS3 × S3 × T4 and mirror duality, JHEP 09 (2021) 110 [arXiv:2107.02564] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  97. G.T. Horowitz and A.A. Tseytlin, On exact solutions and singularities in string theory, Phys. Rev. D 50 (1994) 5204 [hep-th/9406067] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  98. S. de Haro, A. Sinkovics and K. Skenderis, On alpha-prime corrections to D-brane solutions, Phys. Rev. D 68 (2003) 066001 [hep-th/0302136] [INSPIRE].

  99. M. de Leeuw, A. Pribytok, A.L. Retore and P. Ryan, Integrable deformations of AdS/CFT, JHEP 05 (2022) 012 [arXiv:2109.00017] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  100. M. Alishahiha and O.J. Ganor, Twisted backgrounds, PP waves and nonlocal field theories, JHEP 03 (2003) 006 [hep-th/0301080] [INSPIRE].

  101. R. Borsato, O. Ohlsson Sax, A. Sfondrini, B. Stefański and A. Torrielli, The all-loop integrable spin-chain for strings on AdS3 × S3 × T4: the massive sector, JHEP 08 (2013) 043 [arXiv:1303.5995] [INSPIRE].

  102. F. Delduc, S. Lacroix, M. Magro and B. Vicedo, On q-deformed symmetries as Poisson-Lie symmetries and application to Yang-Baxter type models, J. Phys. A 49 (2016) 415402 [arXiv:1606.01712] [INSPIRE].

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, UK

    Ben Hoare

  2. Blackett Laboratory, Imperial College, London, SW7 2AZ, UK

    Fiona K. Seibold & Arkady A. Tseytlin

Authors
  1. Ben Hoare
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fiona K. Seibold
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Arkady A. Tseytlin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fiona K. Seibold.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

ArXiv ePrint: 2206.12347

Also on leave from Institute for Theoretical and Mathematical Physics (ITMP) and Lebedev Institute. (Arkady A. Tseytlin)

Rights and permissions

Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Reprints and Permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hoare, B., Seibold, F.K. & Tseytlin, A.A. Integrable supersymmetric deformations of AdS3 × S3 × T4. J. High Energ. Phys. 2022, 18 (2022). https://doi.org/10.1007/JHEP09(2022)018

Download citation

  • Received: 04 July 2022

  • Accepted: 10 August 2022

  • Published: 02 September 2022

  • DOI: https://doi.org/10.1007/JHEP09(2022)018

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • AdS-CFT Correspondence
  • Integrable Field Theories
  • Sigma Models
  • String Duality
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

Advertisement

search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

Not affiliated

Springer Nature

© 2023 Springer Nature