Abstract
We investigate the algebraic curve for string in Sch5 × S5. We compute the semiclassical spectrum for BMN string in Sch5 × S5 from the algebraic curve. We compare our results with the anomalous dimensions in sl(2) sector of the null dipole deformation of \( \mathcal{N}=4 \) superYang-Millstheory.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
N. Beisert et al., Review of AdS/CFT Integrability: An Overview, Lett. Math. Phys. 99 (2012) 3 [arXiv:1012.3982] [INSPIRE].
J.A. Minahan and K. Zarembo, The Bethe ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208] [INSPIRE].
I. Bena, J. Polchinski and R. Roiban, Hidden symmetries of the AdS 5 × S 5 superstring, Phys. Rev. D 69 (2004) 046002 [hep-th/0305116] [INSPIRE].
V.A. Kazakov, A. Marshakov, J.A. Minahan and K. Zarembo, Classical/quantum integrability in AdS/CFT, JHEP 05 (2004) 024 [hep-th/0402207] [INSPIRE].
V.A. Kazakov and K. Zarembo, Classical/quantum integrability in non-compact sector of AdS/CFT, JHEP 10 (2004) 060 [hep-th/0410105] [INSPIRE].
N. Beisert, V.A. Kazakov and K. Sakai, Algebraic curve for the SO(6) sector of AdS/CFT, Commun. Math. Phys. 263 (2006) 611 [hep-th/0410253] [INSPIRE].
S. Schäfer-Nameki, The Algebraic curve of 1-loop planar N = 4 SYM, Nucl. Phys. B 714 (2005) 3 [hep-th/0412254] [INSPIRE].
N. Beisert, V.A. Kazakov, K. Sakai and K. Zarembo, The Algebraic curve of classical superstrings on AdS 5 × S 5, Commun. Math. Phys. 263 (2006) 659 [hep-th/0502226] [INSPIRE].
C.P. Herzog, M. Rangamani and S.F. Ross, Heating up Galilean holography, JHEP 11 (2008) 080 [arXiv:0807.1099] [INSPIRE].
J. Maldacena, D. Martelli and Y. Tachikawa, Comments on string theory backgrounds with non-relativistic conformal symmetry, JHEP 10 (2008) 072 [arXiv:0807.1100] [INSPIRE].
A. Adams, K. Balasubramanian and J. McGreevy, Hot Spacetimes for Cold Atoms, JHEP 11 (2008) 059 [arXiv:0807.1111] [INSPIRE].
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].
D. Orlando, S. Reffert and L.I. Uruchurtu, Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-duality, J. Phys. A 44 (2011) 115401 [arXiv:1011.1771] [INSPIRE].
I. Kawaguchi and K. Yoshida, Classical integrability of Schrödinger σ-models and q-deformed Poincaré symmetry, JHEP 11 (2011) 094 [arXiv:1109.0872] [INSPIRE].
I. Kawaguchi, T. Matsumoto and K. Yoshida, Schroedinger σ-models and Jordanian twists, JHEP 08 (2013) 013 [arXiv:1305.6556] [INSPIRE].
M. Alishahiha and O.J. Ganor, Twisted backgrounds, PP waves and nonlocal field theories, JHEP 03 (2003) 006 [hep-th/0301080] [INSPIRE].
A. Bergman and O.J. Ganor, Dipoles, twists and noncommutative gauge theory, JHEP 10 (2000) 018 [hep-th/0008030] [INSPIRE].
K. Dasgupta, O.J. Ganor and G. Rajesh, Vector deformations of N = 4 super Yang-Mills theory, pinned branes and arched strings, JHEP 04 (2001) 034 [hep-th/0010072] [INSPIRE].
A. Bergman, K. Dasgupta, O.J. Ganor, J.L. Karczmarek and G. Rajesh, Nonlocal field theories and their gravity duals, Phys. Rev. D 65 (2002) 066005 [hep-th/0103090] [INSPIRE].
M. Guica, F. Levkovich-Maslyuk and K. Zarembo, Integrability in dipole-deformed \( \mathcal{N}=4 \) super Yang-Mills, J. Phys. A 50 (2017) 394001 [arXiv:1706.07957] [INSPIRE].
V.G. Drinfeld, Quasi Hopf algebras, Alg. Anal. 1N6 (1989) 114.
N. Reshetikhin, Multiparameter quantum groups and twisted quasitriangular Hopf algebras, Lett. Math. Phys. 20 (1990) 331 [INSPIRE].
D.E. Berenstein, J.M. Maldacena and H.S. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, JHEP 04 (2002) 013 [hep-th/0202021] [INSPIRE].
N. Bobev, A. Kundu and K. Pilch, Supersymmetric IIB Solutions with Schrödinger Symmetry, JHEP 07 (2009) 107 [arXiv:0905.0673] [INSPIRE].
C. Klimčík, On integrability of the Yang-Baxter σ-model, J. Math. Phys. 50 (2009) 043508 [arXiv:0802.3518] [INSPIRE].
C. Klimčík, Yang-Baxter σ-models and dS/AdS T duality, JHEP 12 (2002) 051 [hep-th/0210095] [INSPIRE].
F. Delduc, M. Magro and B. Vicedo, An integrable deformation of the AdS 5 × S5 superstring action, Phys. Rev. Lett. 112 (2014) 051601 [arXiv:1309.5850] [INSPIRE].
I. Kawaguchi, T. Matsumoto and K. Yoshida, Jordanian deformations of the AdS 5 xS 5 superstring, JHEP 04 (2014) 153 [arXiv:1401.4855] [INSPIRE].
T. Matsumoto and K. Yoshida, Yang-Baxter deformations and string dualities, JHEP 03 (2015) 137 [arXiv:1412.3658] [INSPIRE].
T. Matsumoto and K. Yoshida, Integrability of classical strings dual for noncommutative gauge theories, JHEP 06 (2014) 163 [arXiv:1404.3657] [INSPIRE].
T. Matsumoto and K. Yoshida, Schrödinger geometries arising from Yang-Baxter deformations, JHEP 04 (2015) 180 [arXiv:1502.00740] [INSPIRE].
S.J. van Tongeren, On classical Yang-Baxter based deformations of the AdS 5× S 5 superstring, JHEP 06 (2015) 048 [arXiv:1504.05516] [INSPIRE].
S.J. van Tongeren, Yang-Baxter deformations, AdS/CFT and twist-noncommutative gauge theory, Nucl. Phys. B 904 (2016) 148 [arXiv:1506.01023] [INSPIRE].
D. Osten and S.J. van Tongeren, Abelian Yang-Baxter deformations and TsT transformations, Nucl. Phys. B 915 (2017) 184 [arXiv:1608.08504] [INSPIRE].
B. Hoare and A.A. Tseytlin, Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS 5 σ-model, J. Phys. A 49 (2016) 494001 [arXiv:1609.02550] [INSPIRE].
S.J. van Tongeren, Almost abelian twists and AdS/CFT, Phys. Lett. B 765 (2017) 344 [arXiv:1610.05677] [INSPIRE].
B. Hoare and D.C. Thompson, Marginal and non-commutative deformations via non-abelian T-duality, JHEP 02 (2017) 059 [arXiv:1611.08020] [INSPIRE].
T. Araujo, I. Bakhmatov, E. Ó. Colgáin, J. Sakamoto, M.M. Sheikh-Jabbari and K. Yoshida, Yang-Baxter σ-models, conformal twists and noncommutative Yang-Mills theory, Phys. Rev. D 95 (2017) 105006 [arXiv:1702.02861] [INSPIRE].
T. Araujo, I. Bakhmatov, E. Ó. Colgáin, J.-i. Sakamoto, M.M. Sheikh-Jabbari and K. Yoshida, Conformal Twists, Yang-Baxter σ-models & Holographic Noncommutativity, arXiv:1705.02063 [INSPIRE].
R.R. Metsaev and A.A. Tseytlin, Type IIB superstring action in AdS 5 × S 5 background, Nucl. Phys. B 533 (1998) 109 [hep-th/9805028] [INSPIRE].
N. Gromov and P. Vieira, The AdS 5 × S 5 superstring quantum spectrum from the algebraic curve, Nucl. Phys. B 789 (2008) 175 [hep-th/0703191] [INSPIRE].
N. Gromov, S. Schäfer-Nameki and P. Vieira, Efficient precision quantization in AdS/CFT, JHEP 12 (2008) 013 [arXiv:0807.4752] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, A Semiclassical limit of the gauge/string correspondence, Nucl. Phys. B 636 (2002) 99 [hep-th/0204051] [INSPIRE].
S. Frolov and A.A. Tseytlin, Semiclassical quantization of rotating superstring in AdS 5 × S 5, JHEP 06 (2002) 007 [hep-th/0204226] [INSPIRE].
S. Frolov and A.A. Tseytlin, Multispin string solutions in AdS 5 × S 5, Nucl. Phys. B 668 (2003) 77 [hep-th/0304255] [INSPIRE].
W. Song and A. Strominger, Warped AdS3/Dipole-CFT Duality, JHEP 05 (2012) 120 [arXiv:1109.0544] [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1709.06844
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Ouyang, H. Semiclassical spectrum for BMN string in Sch5 × S5. J. High Energ. Phys. 2017, 126 (2017). https://doi.org/10.1007/JHEP12(2017)126
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2017)126