Matching three-point functions of BMN operators at weak and strong coupling. (English) Zbl 1397.81247
Summary: The agreement between string theory and field theory is demonstrated in the leading order by providing the first calculation of the correlator of three two-impurity BMN states with all non-zero momenta. The calculation is performed in two completely independent ways: in field theory by using the large-\(N\) perturbative expansion, up to the terms subleading in finite-size, and in string theory by using the Dobashi-Yoneya 3-string vertex in the leading order of the Penrose expansion. The two results come out to be completely identical.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
References:
| [1] | Janik, RA; Surowka, P.; Wereszczynski, A., On correlation functions of operators dual to classical spinning string states, JHEP, 05, 030, (2010) · Zbl 1288.81111 · doi:10.1007/JHEP05(2010)030 |
| [2] | Buchbinder, E.; Tseytlin, A., On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT, JHEP, 08, 057, (2010) · Zbl 1291.81298 · doi:10.1007/JHEP08(2010)057 |
| [3] | Costa, MS; Monteiro, R.; Santos, JE; Zoakos, D., On three-point correlation functions in the gauge/gravity duality, JHEP, 11, 141, (2010) · Zbl 1294.81186 · doi:10.1007/JHEP11(2010)141 |
| [4] | Roiban, R.; Tseytlin, A., On semiclassical computation of 3-point functions of closed string vertex operators in ads_{5} × S\^{}{5}, Phys. Rev., D 82, 106011, (2010) |
| [5] | Zarembo, K., Holographic three-point functions of semiclassical states, JHEP, 09, 030, (2010) · Zbl 1291.81273 · doi:10.1007/JHEP09(2010)030 |
| [6] | Hernandez, R., Three-point correlation functions from semiclassical circular strings, J. Phys., A 44, 085403, (2011) · Zbl 1209.81167 |
| [7] | Arnaudov, D.; Rashkov, R., On semiclassical calculation of three-point functions in ads_{4} × CP\^{}{3}, Phys. Rev., D 83, 066011, (2011) |
| [8] | Georgiou, G., Two and three-point correlators of operators dual to folded string solutions at strong coupling, JHEP, 02, 046, (2011) · Zbl 1294.81197 · doi:10.1007/JHEP02(2011)046 |
| [9] | Escobedo, J.; Gromov, N.; Sever, A.; Vieira, P., Tailoring three-point functions and integrability, JHEP, 09, 028, (2011) · Zbl 1301.81122 · doi:10.1007/JHEP09(2011)028 |
| [10] | Park, C.; Lee, B-H, Correlation functions of magnon and spike, Phys. Rev., D 83, 126004, (2011) |
| [11] | Russo, J.; Tseytlin, A., Large spin expansion of semiclassical 3-point correlators in ads_{5} × S\^{}{5}, JHEP, 02, 029, (2011) · Zbl 1294.81231 · doi:10.1007/JHEP02(2011)029 |
| [12] | Bak, D.; Chen, B.; Wu, J-B, Holographic correlation functions for open strings and branes, JHEP, 06, 014, (2011) · Zbl 1298.81238 · doi:10.1007/JHEP06(2011)014 |
| [13] | Bissi, A.; Kristjansen, C.; Young, D.; Zoubos, K., Holographic three-point functions of giant gravitons, JHEP, 06, 085, (2011) · Zbl 1298.81245 · doi:10.1007/JHEP06(2011)085 |
| [14] | Arnaudov, D.; Rashkov, R.; Vetsov, T., Three and four-point correlators of operators dual to folded string solutions in ads_{5} × S\^{}{5}, Int. J. Mod. Phys., A 26, 3403, (2011) · Zbl 1247.81340 |
| [15] | Hernandez, R., Three-point correlators for giant magnons, JHEP, 05, 123, (2011) · Zbl 1296.81101 · doi:10.1007/JHEP05(2011)123 |
| [16] | Bai, X.; Lee, B-H; Park, C., Correlation function of dyonic strings, Phys. Rev., D 84, 026009, (2011) |
| [17] | Ahn, C.; Bozhilov, P., Three-point correlation functions of giant magnons with finite size, Phys. Lett., B 702, 286, (2011) |
| [18] | Klose, T.; McLoughlin, T., A light-cone approach to three-point functions in ads_{5} × S\^{}{5}, JHEP, 04, 080, (2012) · Zbl 1348.81376 · doi:10.1007/JHEP04(2012)080 |
| [19] | Arnaudov, D.; Rashkov, R., Quadratic corrections to three-point functions, Fortsch. Phys., 60, 217, (2012) · Zbl 1243.81138 · doi:10.1002/prop.201100081 |
| [20] | Michalcik, M.; Rashkov, RC; Schimpf, M., On semiclassical calculation of three-point functions in ads_{5} × T\^{}{(1,1)}, Mod. Phys. Lett., A 27, 1250091, (2012) · Zbl 1260.81202 |
| [21] | Janik, RA; Wereszczynski, A., Correlation functions of three heavy operators: the AdS contribution, JHEP, 12, 095, (2011) · Zbl 1306.81116 · doi:10.1007/JHEP12(2011)095 |
| [22] | Escobedo, J.; Gromov, N.; Sever, A.; Vieira, P., Tailoring three-point functions and integrability II. weak/strong coupling match, JHEP, 09, 029, (2011) · Zbl 1301.81121 · doi:10.1007/JHEP09(2011)029 |
| [23] | N. Gromov, A. Sever and P. Vieira, Tailoring three-point functions and integrability III. Classical tunneling, arXiv:1111.2349 [INSPIRE]. |
| [24] | Georgiou, G., SL(2) sector: weak/strong coupling agreement of three-point correlators, JHEP, 09, 132, (2011) · Zbl 1301.81129 · doi:10.1007/JHEP09(2011)132 |
| [25] | Buchbinder, E.; Tseytlin, A., Semiclassical correlators of three states with large S\^{}{5} charges in string theory in ads_{5} × S\^{}{5}, Phys. Rev., D 85, 026001, (2012) |
| [26] | Foda, O., N = 4 SYM structure constants as determinants, JHEP, 03, 096, (2012) · Zbl 1309.81155 |
| [27] | Bissi, A.; Harmark, T.; Orselli, M., Holographic 3-point function at one loop, JHEP, 02, 133, (2012) · Zbl 1309.81130 · doi:10.1007/JHEP02(2012)133 |
| [28] | Georgiou, G.; Gili, V.; Grossardt, A.; Plefka, J., Three-point functions in planar N = 4 super Yang-Mills theory for scalar operators up to length five at the one-loop order, JHEP, 04, 038, (2012) · Zbl 1348.81411 · doi:10.1007/JHEP04(2012)038 |
| [29] | N. Gromov and P. Vieira, Quantum integrability for three-point functions, arXiv:1202.4103 [INSPIRE]. · Zbl 1333.81246 |
| [30] | D. Serban, A note on the eigenvectors of long-range spin chains and their scalar products, arXiv:1203.5842 [INSPIRE]. · Zbl 1342.81188 |
| [31] | I. Kostov, Classical limit of the three-point function from integrability, arXiv:1203.6180 [INSPIRE]. |
| [32] | Gromov, N.; Kazakov, V.; Vieira, P., Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory, Phys. Rev. Lett., 103, 131601, (2009) · doi:10.1103/PhysRevLett.103.131601 |
| [33] | Gromov, N.; Kazakov, V.; Kozak, A.; Vieira, P., Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory: TBA and excited states, Lett. Math. Phys., 91, 265, (2010) · Zbl 1186.81102 · doi:10.1007/s11005-010-0374-8 |
| [34] | N. Gromov, V. Kazakov, S. Leurent and D. Volin, Solving the AdS/CFT Y-system, arXiv:1110.0562 [INSPIRE]. |
| [35] | Frolov, S.; Tseytlin, AA, Rotating string solutions: AdS/CFT duality in nonsupersymmetric sectors, Phys. Lett., B 570, 96, (2003) · Zbl 1058.81652 |
| [36] | Kruczenski, M., Spin chains and string theory, Phys. Rev. Lett., 93, 161602, (2004) · doi:10.1103/PhysRevLett.93.161602 |
| [37] | Callan, CG; etal., Quantizing string theory in ads_{5} × S\^{}{5}: beyond the pp wave, Nucl. Phys., B 673, 3, (2003) · Zbl 1058.81643 · doi:10.1016/j.nuclphysb.2003.09.008 |
| [38] | Harmark, T.; Kristjansson, KR; Orselli, M., Matching gauge theory and string theory in a decoupling limit of AdS/CFT, JHEP, 02, 027, (2009) · Zbl 1245.81177 · doi:10.1088/1126-6708/2009/02/027 |
| [39] | Berenstein, DE; Maldacena, JM; Nastase, HS, Strings in flat space and pp waves from N = 4 super Yang-Mills, JHEP, 04, 013, (2002) · doi:10.1088/1126-6708/2002/04/013 |
| [40] | Kristjansen, C.; Plefka, J.; Semenoff, G.; Staudacher, M., A new double scaling limit of N = 4 super Yang-Mills theory and pp wave strings, Nucl. Phys., B 643, 3, (2002) · Zbl 0998.81075 · doi:10.1016/S0550-3213(02)00749-6 |
| [41] | Lee, S.; Minwalla, S.; Rangamani, M.; Seiberg, N., Three point functions of chiral operators in D = 4, N = 4 SYM at large-N, Adv. Theor. Math. Phys., 2, 697, (1998) · Zbl 0923.53033 |
| [42] | Freedman, DZ; Mathur, SD; Matusis, A.; Rastelli, L., Correlation functions in the CFT_{d}/ads_{d+1} correspondence, Nucl. Phys., B 546, 96, (1999) · Zbl 0944.81041 · doi:10.1016/S0550-3213(99)00053-X |
| [43] | Arutyunov, G.; Frolov, S., Some cubic couplings in type IIB supergravity on ads_{5} × S\^{}{5} and three point functions in SYM_{4} at large-N, Phys. Rev., D 61, 064009, (2000) |
| [44] | G. Arutyunov, S. Frolov and A.C. Petkou, Operator product expansion of the lowest weight CPOs in N = 4 SYM_{4}at strong coupling, Nucl. Phys.B 586 (2000) 547 [Erratum ibid.B 609 (2001) 539] [hep-th/0005182] [INSPIRE]. · Zbl 1043.81709 |
| [45] | Bastianelli, F.; Zucchini, R., Three point functions of universal scalars in maximal SCFTs at large-N, JHEP, 05, 047, (2000) · Zbl 0990.81676 · doi:10.1088/1126-6708/2000/05/047 |
| [46] | Heslop, P.; Howe, PS, OPEs and three-point correlators of protected operators in N = 4 SYM, Nucl. Phys., B 626, 265, (2002) · Zbl 0985.81070 · doi:10.1016/S0550-3213(02)00023-8 |
| [47] | D’Hoker, E.; Ryzhov, AV, Three point functions of quarter BPS operators in N = 4 SYM, JHEP, 02, 047, (2002) · doi:10.1088/1126-6708/2002/02/047 |
| [48] | Bianchi, M.; Prisco, M.; Mueck, W., New results on holographic three point functions, JHEP, 11, 052, (2003) · doi:10.1088/1126-6708/2003/11/052 |
| [49] | Okuyama, K.; Tseng, L-S, Three-point functions in N = 4 SYM theory at one-loop, JHEP, 08, 055, (2004) · doi:10.1088/1126-6708/2004/08/055 |
| [50] | Georgiou, G.; Gili, VL; Russo, R., Operator mixing and three-point functions in N = 4 SYM, JHEP, 10, 009, (2009) · doi:10.1088/1126-6708/2009/10/009 |
| [51] | Dobashi, S.; Shimada, H.; Yoneya, T., Holographic reformulation of string theory on ads_{5} × S\^{}{5} background in the pp wave limit, Nucl. Phys., B 665, 94, (2003) · Zbl 1038.83038 · doi:10.1016/S0550-3213(03)00460-7 |
| [52] | Kazama, Y.; Komatsu, S., On holographic three point functions for GKP strings from integrability, JHEP, 01, 110, (2012) · Zbl 1306.81253 · doi:10.1007/JHEP01(2012)110 |
| [53] | He, Y-H; Schwarz, JH; Spradlin, M.; Volovich, A., Explicit formulas for Neumann coefficients in the plane-wave geometry, Phys. Rev., D 67, 086005, (2003) |
| [54] | Spradlin, M.; Volovich, A., Superstring interactions in a pp-wave background II, JHEP, 01, 036, (2003) · doi:10.1088/1126-6708/2003/01/036 |
| [55] | Pearson, J.; Spradlin, M.; Vaman, D.; Verlinde, HL; Volovich, A., Tracing the string: BMN correspondence at finite J\^{}{2}/N, JHEP, 05, 022, (2003) · doi:10.1088/1126-6708/2003/05/022 |
| [56] | Pankiewicz, A.; Stefański, B., Pp wave light cone superstring field theory, Nucl. Phys., B 657, 79, (2003) · Zbl 1023.81032 · doi:10.1016/S0550-3213(03)00141-X |
| [57] | A. Pankiewicz and B. Stefański Jr., On the uniqueness of plane wave string field theory, hep-th/0308062 [INSPIRE]. |
| [58] | Vecchia, P.; Petersen, JL; Petrini, M.; Russo, R.; Tanzini, A., The three string vertex and the AdS/CFT duality in the pp wave limit, Class. Quant. Grav., 21, 2221, (2004) · Zbl 1050.81057 · doi:10.1088/0264-9381/21/9/001 |
| [59] | Dobashi, S.; Yoneya, T., Impurity non-preserving 3-point correlators of BMN operators from pp-wave holography. I. bosonic excitations, Nucl. Phys., B 711, 54, (2005) · Zbl 1109.83315 · doi:10.1016/j.nuclphysb.2004.12.013 |
| [60] | Shimada, H., Holography at string field theory level: conformal three point functions of BMN operators, Phys. Lett., B 647, 211, (2007) · Zbl 1248.81187 |
| [61] | Grignani, G.; Orselli, M.; Ramadanovic, B.; Semenoff, GW; Young, D., Divergence cancellation and loop corrections in string field theory on a plane wave background, JHEP, 12, 017, (2005) · doi:10.1088/1126-6708/2005/12/017 |
| [62] | Grignani, G.; Orselli, M.; Ramadanovic, B.; Semenoff, GW; Young, D., AdS/CFT versus string loops, JHEP, 06, 040, (2006) · doi:10.1088/1126-6708/2006/06/040 |
| [63] | Constable, NR; etal., Pp wave string interactions from perturbative Yang-Mills theory, JHEP, 07, 017, (2002) · doi:10.1088/1126-6708/2002/07/017 |
| [64] | Beisert, N.; Kristjansen, C.; Plefka, J.; Semenoff, G.; Staudacher, M., BMN correlators and operator mixing in N = 4 super Yang-Mills theory, Nucl. Phys., B 650, 125, (2003) · Zbl 1005.81049 · doi:10.1016/S0550-3213(02)01025-8 |
| [65] | Chu, C-S; Khoze, VV; Travaglini, G., Three point functions in N = 4 Yang-Mills theory and pp waves, JHEP, 06, 011, (2002) · doi:10.1088/1126-6708/2002/06/011 |
| [66] | Dobashi, S., Impurity non-preserving 3-point correlators of BMN operators from pp-wave holography. II. fermionic excitations, Nucl. Phys., B 756, 171, (2006) · Zbl 1215.83049 · doi:10.1016/j.nuclphysb.2006.08.004 |
| [67] | Bozhilov, P., More three-point correlators of giant magnons with finite size, JHEP, 08, 121, (2011) · Zbl 1298.81250 · doi:10.1007/JHEP08(2011)121 |
| [68] | Astolfi, D.; Grignani, G.; Ser-Giacomi, E.; Zayakin, A., Strings in ads_{4} × CP \^{}{3}: finite size spectrum vs. Bethe ansatz, JHEP, 04, 005, (2012) · Zbl 1348.81349 · doi:10.1007/JHEP04(2012)005 |
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