Abstract
In this paper, we study the spin chain and string excitation in the rotating Rindler-AdS 3 proposed in [14]. We obtain a one-parameter deformed SL(2) spin chain at the fast spin limit. Two-spin GKP-like solutions are studied at short and long string limits. General ansatz for giant magnons and spiky strings are analyzed in detail for various β. At last, we explore its counterpart in analytic continuation and pp-wave limit.
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References
J.M. Maldacena, The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [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].
J.A. Minahan and K. Zarembo, The Bethe ansatz for N = 4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208] [INSPIRE].
N. Beisert, J.A. Minahan, M. Staudacher and K. Zarembo, Stringing spins and spinning strings, JHEP 09 (2003) 010 [hep-th/0306139] [INSPIRE].
S. Frolov and A.A. Tseytlin, Rotating string solutions: AdS/CFT duality in nonsupersymmetric sectors, Phys. Lett. B 570 (2003) 96 [hep-th/0306143] [INSPIRE].
G. Arutyunov, S. Frolov, J. Russo and A.A. Tseytlin, Spinning strings in AdS 5 × S 5 and integrable systems, Nucl. Phys. B 671 (2003) 3 [hep-th/0307191] [INSPIRE].
M. Kruczenski, Spin chains and string theory, Phys. Rev. Lett. 93 (2004) 161602 [hep-th/0311203] [INSPIRE].
S. Bellucci, P.-Y. Casteill, J.F. Morales and C. Sochichiu, SL(2) spin chain and spinning strings on AdS 5 × S 5, Nucl. Phys. B 707 (2005) 303 [hep-th/0409086] [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].
D.M. Hofman and J.M. Maldacena, Giant Magnons, J. Phys. A 39 (2006) 13095 [hep-th/0604135] [INSPIRE].
S. Ryang, Three-spin giant magnons in AdS 5 × S 5, JHEP 12 (2006) 043 [hep-th/0610037] [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].
M. Parikh, P. Samantray and E. Verlinde, Rotating Rindler-AdS Space, Phys. Rev. D 86 (2012) 024005 [arXiv:1112.3433] [INSPIRE].
C.-M. Chen, J.-H. Tsai and W.-Y. Wen, Giant Magnons and Spiky Strings on S 3 with B-field, Prog. Theor. Phys. 121 (2009) 1189 [arXiv:0809.3269] [INSPIRE].
B.-H. Lee, R.R. Nayak, K.L. Panigrahi and C. Park, On the giant magnon and spike solutions for strings on AdS 3 × S 3, JHEP 06 (2008) 065 [arXiv:0804.2923] [INSPIRE].
J.A. Minahan, Circular semiclassical string solutions on AdS 5 × S 5, Nucl. Phys. B 648 (2003) 203 [hep-th/0209047] [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].
W.-Y. Wen, Spin chain from marginally deformed AdS 3 × S 3, Phys. Rev. D 75 (2007) 067901 [hep-th/0610147] [INSPIRE].
M. Losi, Spiky strings and the AdS/CFT correspondence, arXiv:1109.5401 [INSPIRE].
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].
K. Okamura and R. Suzuki, A Perspective on Classical Strings from Complex sine-Gordon Solitons, Phys. Rev. D 75 (2007) 046001 [hep-th/0609026] [INSPIRE].
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ArXiv ePrint: 1401.6915
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Dai, SH., Kuwakino, S. & Wen, WY. Spin chains and classical strings in rotating Rindler-AdS space. J. High Energ. Phys. 2014, 18 (2014). https://doi.org/10.1007/JHEP04(2014)018
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DOI: https://doi.org/10.1007/JHEP04(2014)018