Abstract
We construct the embedding of the λ-model on SL(2, ℝ) × SU(2) × SU(2) in type-II supergravity. In the absence of deformation, the ten-dimensional background corresponds to the near-horizon limit of the NS1-NS5-NS5 brane intersection. We show that when the deformation is turned on, supersymmetry breaks by half, and the solution preserves 8 supercharges. The Penrose limits along two null geodesics of the deformed geometry are also considered. It turns out that none of the associated plane-wave backgrounds exhibit supernumerary supercharges.
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P.M. Cowdall and P.K. Townsend, Gauged supergravity vacua from intersecting branes, Phys. Lett. B 429 (1998) 281 [hep-th/9801165] [INSPIRE].
E. Witten, Nonabelian Bosonization in Two-Dimensions, Commun. Math. Phys. 92 (1984) 455 [INSPIRE].
K. Sfetsos, Integrable interpolations: From exact CFTs to non-Abelian T-duals, Nucl. Phys. B 880 (2014) 225 [arXiv:1312.4560] [INSPIRE].
G. Georgiou, K. Sfetsos and K. Siampos, λ-Deformations of left-right asymmetric CFTs, Nucl. Phys. B 914 (2017) 623 [arXiv:1610.05314] [INSPIRE].
G. Georgiou and K. Sfetsos, Integrable flows between exact CFTs, JHEP 11 (2017) 078 [arXiv:1707.05149] [INSPIRE].
G. Georgiou and K. Sfetsos, Novel all loop actions of interacting CFTs: Construction, integrability and RG flows, Nucl. Phys. B 937 (2018) 371 [arXiv:1809.03522] [INSPIRE].
G. Georgiou and K. Sfetsos, The most general λ-deformation of CFTs and integrability, JHEP 03 (2019) 094 [arXiv:1812.04033] [INSPIRE].
S. Driezen, A. Sevrin and D.C. Thompson, Integrable asymmetric λ-deformations, JHEP 04 (2019) 094 [arXiv:1902.04142] [INSPIRE].
T.J. Hollowood, J.L. Miramontes and D.M. Schmidtt, Integrable Deformations of Strings on Symmetric Spaces, JHEP 11 (2014) 009 [arXiv:1407.2840] [INSPIRE].
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].
K. Sfetsos and K. Siampos, Integrable deformations of the \( {G}_{k_1}\times {G}_{k_2}/{G}_{k_1+{k}_2} \) coset CFTs, Nucl. Phys. B 927 (2018) 124 [arXiv:1710.02515] [INSPIRE].
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [INSPIRE].
K. Sfetsos and D.C. Thompson, Spacetimes for λ-deformations, JHEP 12 (2014) 164 [arXiv:1410.1886] [INSPIRE].
C.M. Hull, Timelike T duality, de Sitter space, large N gauge theories and topological field theory, JHEP 07 (1998) 021 [hep-th/9806146] [INSPIRE].
G. Itsios, K. Sfetsos and K. Siampos, Supersymmetric backgrounds from λ-deformations, JHEP 01 (2024) 084 [arXiv:2310.17700] [INSPIRE].
R. Penrose, Any Space-Time has a Plane Wave as a Limit, in Differential geometry and relativity, Springer (1976), pg. 271.
S. Demulder, K. Sfetsos and D.C. Thompson, Integrable λ-deformations: Squashing Coset CFTs and AdS5 × S5, JHEP 07 (2015) 019 [arXiv:1504.02781] [INSPIRE].
R. Borsato, A.A. Tseytlin and L. Wulff, Supergravity background of λ-deformed model for AdS2 × S2 supercoset, Nucl. Phys. B 905 (2016) 264 [arXiv:1601.08192] [INSPIRE].
G. Itsios and K. Sfetsos, AdS solutions and λ-deformations, Nucl. Phys. B 953 (2020) 114960 [arXiv:1911.12371] [INSPIRE].
Y. Chervonyi and O. Lunin, Supergravity background of the λ-deformed AdS3 × S3 supercoset, Nucl. Phys. B 910 (2016) 685 [arXiv:1606.00394] [INSPIRE].
R. Borsato and L. Wulff, Target space supergeometry of η and λ-deformed strings, JHEP 10 (2016) 045 [arXiv:1608.03570] [INSPIRE].
C. Klimcik, Yang-Baxter sigma models and dS/AdS T duality, JHEP 12 (2002) 051 [hep-th/0210095] [INSPIRE].
C. Klimcik, On integrability of the Yang-Baxter sigma-model, J. Math. Phys. 50 (2009) 043508 [arXiv:0802.3518] [INSPIRE].
F. Delduc, M. Magro and B. Vicedo, On classical q-deformations of integrable sigma-models, JHEP 11 (2013) 192 [arXiv:1308.3581] [INSPIRE].
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].
B. Hoare and A.A. Tseytlin, Type IIB supergravity solution for the T-dual of the η-deformed AdS5 × S5 superstring, JHEP 10 (2015) 060 [arXiv:1508.01150] [INSPIRE].
B. Hoare and A.A. Tseytlin, On integrable deformations of superstring sigma models related to AdSn × Sn supercosets, Nucl. Phys. B 897 (2015) 448 [arXiv:1504.07213] [INSPIRE].
B. Hoare and F.K. Seibold, Supergravity backgrounds of the η-deformed AdS2 × S2 × T 6 and AdS5 × S5 superstrings, JHEP 01 (2019) 125 [arXiv:1811.07841] [INSPIRE].
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].
B. Hoare, F.K. Seibold and A.A. Tseytlin, Integrable supersymmetric deformations of AdS3 × S3 × T 4, JHEP 09 (2022) 018 [arXiv:2206.12347] [INSPIRE].
D. Sadri and M.M. Sheikh-Jabbari, String theory on parallelizable pp waves, JHEP 06 (2003) 005 [hep-th/0304169] [INSPIRE].
M. Cederwall et al., The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity, Nucl. Phys. B 490 (1997) 179 [hep-th/9611159] [INSPIRE].
E. Bergshoeff and P.K. Townsend, Super D-branes, Nucl. Phys. B 490 (1997) 145 [hep-th/9611173] [INSPIRE].
D. Arean, D.E. Crooks and A.V. Ramallo, Supersymmetric probes on the conifold, JHEP 11 (2004) 035 [hep-th/0408210] [INSPIRE].
S.F. Hassan, T duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys. B 568 (2000) 145 [hep-th/9907152] [INSPIRE].
Acknowledgments
I would like to thank K. Sfetsos for inspiring discussions and the Physics Department of the Aristotle University of Thessaloniki (Greece) for hospitality. This research is supported by the Einstein Stiftung Berlin via the Einstein International Postdoctoral Fellowship program “Generalised dualities and their holographic applications to condensed matter physics” (project number IPF- 2020-604). I would also like to acknowledge support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via the Emmy Noether program “Exploring the landscape of string theory flux vacua using exceptional field theory” (project number 426510644).
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Itsios, G. Supersymmetric solutions of type-II supergravity from λ-deformations and zoom-in limits. J. High Energ. Phys. 2024, 177 (2024). https://doi.org/10.1007/JHEP01(2024)177
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DOI: https://doi.org/10.1007/JHEP01(2024)177