Pulsating strings from two-dimensional CFT on \((T^4)^N/S(N)\). (English) Zbl 1348.81388
Summary: We propose a state from the two-dimensional conformal field theory on the orbifold \((T^{4})^{N}/S(N)\) as a dual description for a pulsating string moving in \(AdS_{3}\). We show that, up to first order in the deforming parameter, the energy in both descriptions has the same dependence on the mode number, but with a non-trivial function of the coupling.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 55N32 | Orbifold cohomology |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
References:
| [1] | Maldacena, J. M., The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys., 2, 231-252 (1998) · Zbl 0914.53047 |
| [2] | David, J. R.; Mandal, G.; Wadia, S. R., Microscopic formulation of black holes in string theory, Phys. Rep., 369, 549-686 (2002) · Zbl 0998.83032 |
| [3] | Maldacena, J. M.; Strominger, A., AdS(3) black holes and a stringy exclusion principle, J. High Energy Phys., 9812, 005 (1998) · Zbl 0951.83019 |
| [4] | Mihailescu, M., Correlation functions for chiral primaries in D = 6 supergravity on \(AdS_3 \times S^3\), J. High Energy Phys., 0002, 007 (2000) · Zbl 1097.83534 |
| [5] | Arutyunov, G.; Pankiewicz, A.; Theisen, S., Cubic couplings in D = 6 N = 4b supergravity on \(AdS_3 \times S^3\), Phys. Rev. D, 63, 044024 (2001) |
| [6] | Gaberdiel, M. R.; Kirsch, I., Worldsheet correlators in AdS(3)/CFT(2), J. High Energy Phys., 0704, 050 (2007) |
| [7] | Dabholkar, A.; Pakman, A., Exact chiral ring of AdS(3)/CFT(2), Adv. Theor. Math. Phys., 13, 409-462 (2009) · Zbl 1166.81357 |
| [8] | Pakman, A.; Sever, A., Exact N = 4 correlators of AdS(3)/CFT(2), Phys. Lett. B, 652, 60-62 (2007) · Zbl 1248.81183 |
| [9] | Cardona, C. A.; Nunez, C. A., Three-point functions in superstring theory on \(AdS(3) \times S^3 \times T^4\), J. High Energy Phys., 0906, 009 (2009) |
| [10] | Cardona, C. A.; Kirsch, I., Worldsheet four-point functions in \(AdS_3 / CFT_2\), J. High Energy Phys., 1101, 015 (2011) · Zbl 1214.81196 |
| [11] | Dijkgraaf, R., Instanton strings and hyper-Kähler geometry, Nucl. Phys. B, 543, 545-571 (1999) · Zbl 1097.58503 |
| [12] | Larsen, F.; Martinec, E. J., U(1) charges and moduli in the D1-D5 system, J. High Energy Phys., 9906, 019 (1999) · Zbl 0961.81073 |
| [13] | de Boer, J.; Manschot, J.; Papadodimas, K.; Verlinde, E., The chiral ring of AdS(3)/CFT(2) and the attractor mechanism, J. High Energy Phys., 0903, 030 (2009) |
| [14] | Baggio, M.; de Boer, J.; Papadodimas, K., A non-renormalization theorem for chiral primary 3-point functions, J. High Energy Phys., 1207, 137 (2012) · Zbl 1397.83176 |
| [15] | Gomis, J.; Motl, L.; Strominger, A., PP wave/CFT(2) duality, J. High Energy Phys., 0211, 016 (2002) |
| [16] | Gava, E.; Narain, K., Proving the PP wave/CFT(2) duality, J. High Energy Phys., 0212, 023 (2002) |
| [17] | David, J. R.; Sahoo, B., Giant magnons in the D1-D5 system, J. High Energy Phys., 0807, 033 (2008) |
| [18] | Burrington, B. A.; Peet, A. W.; Zadeh, I. G., Operator mixing for string states in the D1-D5 CFT near the orbifold point, Phys. Rev. D, 87, 106001 (2013) |
| [19] | Avery, S. G.; Chowdhury, B. D.; Mathur, S. D., Deforming the D1D5 CFT away from the orbifold point, J. High Energy Phys., 1006, 031 (2010) · Zbl 1290.81097 |
| [20] | Carson, Z.; Hampton, S.; Mathur, S. D.; Turton, D., Effect of the twist operator in the D1D5 CFT · Zbl 1326.81173 |
| [21] | Carson, Z.; Mathur, S. D.; Turton, D., Bogoliubov coefficients for the twist operator in the D1D5 CFT · Zbl 1326.81173 |
| [22] | Hawking, S., Particle creation by black holes, Commun. Math. Phys., 43, 199-220 (1975) · Zbl 1378.83040 |
| [23] | Minahan, J.; Zarembo, K., The Bethe ansatz for N = 4 super Yang-Mills, J. High Energy Phys., 0303, 013 (2003) |
| [24] | Kazakov, V.; Marshakov, A.; Minahan, J.; Zarembo, K., Classical/quantum integrability in AdS/CFT, J. High Energy Phys., 0405, 024 (2004) |
| [25] | Berenstein, D. E.; Maldacena, J. M.; Nastase, H. S., Strings in flat space and pp waves from N = 4 super Yang-Mills, J. High Energy Phys., 0204, 013 (2002) |
| [26] | Babichenko, A.; Stefanski, B.; Zarembo, K., Integrability and the \(AdS_3/CFT_2\) correspondence, J. High Energy Phys., 1003, 058 (2010) · Zbl 1271.81118 |
| [27] | Ohlsson Sax, O.; Stefanski, B., Integrability, spin-chains and the \(AdS_3/CFT_2\) correspondence, J. High Energy Phys., 1108, 029 (2011) · Zbl 1298.81328 |
| [28] | Ohlsson Sax, O.; Stefanski, B.; Torrielli, A., On the massless modes of the \(AdS_3/CFT_2\) integrable systems, J. High Energy Phys., 1303, 109 (2013) · Zbl 1342.81616 |
| [29] | Borsato, R.; Ohlsson Sax, O.; Sfondrini, A.; Stefanski, B.; Torrielli, A., Dressing phases of \(AdS_3/CFT_2\), Phys. Rev. D, 88, 066004 (2013) |
| [30] | Borsato, R.; Ohlsson Sax, O.; Sfondrini, A.; Stefanski, B.; Torrielli, A., The all-loop integrable spin-chain for strings on \(AdS_3 \times S^3 \times T^4\): the massive sector, J. High Energy Phys., 1308, 043 (2013) · Zbl 1342.83336 |
| [31] | Borsato, R.; Ohlsson Sax, O.; Sfondrini, A.; Stefanski, B., All-loop worldsheet S matrix for \(AdS_3 \times S^3 \times T^4\), Phys. Rev. Lett., 113, 131601 (2014) · Zbl 1333.83176 |
| [32] | Borsato, R.; Ohlsson Sax, O.; Sfondrini, A.; Stefanski, B., The complete \(AdS_3 \times S^3 \times T^4\) worldsheet S matrix, J. High Energy Phys., 1410, 66 (2014) · Zbl 1333.83176 |
| [33] | Sfondrini, A., Towards integrability for AdS3/CFT2 · Zbl 1522.81400 |
| [34] | de Vega, H.; Larsen, A.; Sanchez, N. G., Semiclassical quantization of circular strings in de Sitter and anti-de Sitter space-times, Phys. Rev. D, 51, 6917-6928 (1995) · Zbl 1401.81026 |
| [35] | Gubser, S.; Klebanov, I.; Polyakov, A. M., A semiclassical limit of the gauge/string correspondence, Nucl. Phys. B, 636, 99-114 (2002) · Zbl 0996.81076 |
| [36] | Minahan, J. A., Circular semiclassical string solutions on \(AdS_5 \times S_5\), Nucl. Phys. B, 648, 203-214 (2003) · Zbl 1005.81063 |
| [37] | de Vega, H.; Larsen, A.; Sanchez, N. G., Quantum string dynamics in the conformal invariant SL(2, R) WZWN background: anti-de Sitter space with torsion, Phys. Rev. D, 58, 026001 (1998) |
| [38] | Larsen, A.; Sanchez, N. G., From the WZWN model to the Liouville equation: exact string dynamics in conformally invariant AdS background, Phys. Rev. D, 58, 126002 (1998) |
| [39] | Maldacena, J. M.; Ooguri, H., Strings in AdS(3) and SL(2, R) WZW model 1: the spectrum, J. Math. Phys., 42, 2929-2960 (2001) · Zbl 1036.81033 |
| [40] | Pradhan, P. M.; Panigrahi, K. L., Pulsating strings with angular momenta, Phys. Rev. D, 88, 086005 (2013) |
| [41] | Giardino, S.; Rivelles, V. O., Pulsating strings in Lunin-Maldacena backgrounds, J. High Energy Phys., 1107, 057 (2011) · Zbl 1298.81287 |
| [42] | Arutyunov, G.; Frolov, S., Four graviton scattering amplitude from \(S^N R^8\) supersymmetric orbifold sigma model, Nucl. Phys. B, 524, 159-206 (1998) · Zbl 1031.81581 |
| [43] | de Boer, J., Six-dimensional supergravity on \(S^3 \times AdS_3\) and 2-D conformal field theory, Nucl. Phys. B, 548, 139-166 (1999) · Zbl 0944.83032 |
| [44] | Seiberg, N.; Witten, E., The D1/D5 system and singular CFT, J. High Energy Phys., 9904, 017 (1999) · Zbl 0953.81076 |
| [45] | Jevicki, A.; Mihailescu, M.; Ramgoolam, S., Gravity from CFT on \(S^N(X)\): symmetries and interactions, Nucl. Phys. B, 577, 47-72 (2000) · Zbl 1056.81562 |
| [46] | Dixon, L. J.; Friedan, D.; Martinec, E. J.; Shenker, S. H., The conformal field theory of orbifolds, Nucl. Phys. B, 282, 13-73 (1987) |
| [47] | Kadanoff, L., Multicritical behavior at the Kosterlitz-Thouless critical point, Ann. Phys., 120, 39 (1979) |
| [48] | Eberle, H., Twistfield perturbations of vertex operators in the Z(2) orbifold model, J. High Energy Phys., 0206, 022 (2002) |
| [49] | Lunin, O.; Mathur, S. D., Correlation functions for \(M^N / S_N\) orbifolds, Commun. Math. Phys., 219, 399-442 (2001) · Zbl 0980.81045 |
| [50] | Lunin, O.; Mathur, S. D., Three point functions for M(N)/S(N) orbifolds with N = 4 supersymmetry, Commun. Math. Phys., 227, 385-419 (2002) · Zbl 1004.81029 |
| [51] | Gaiotto, D.; Giombi, S.; Yin, X., Spin chains in N = 6 superconformal Chern-Simons-matter theory, J. High Energy Phys., 0904, 066 (2009) |
| [52] | Nishioka, T.; Takayanagi, T., On type IIA Penrose limit and N = 6 Chern-Simons theories, J. High Energy Phys., 0808, 001 (2008) |
| [53] | Cardona, C.; Nastase, H., Open strings on D-branes from ABJM · Zbl 1388.83200 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
