Abstract
Working within the AdS/CFT correspondence we calculate the three-point function of two giant gravitons and one pointlike graviton using methods of semi classical string theory and considering both the case where the giant gravitons wrap an S 3 ⊂ S 5 and the case where the giant gravitons wrap an S 3 ⊂ AdS5. We likewise calculate the correlation function in \( \mathcal{N} = 4 \) SYM using two Schur polynomials and a single trace chiral primary. We find that the gauge and string theory results have structural similarities but do not match perfectly, and interpret this in terms of the Schur polynomials’ inability to interpolate between dual giant and pointlike gravitons.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.A. Minahan and K. Zarembo, The Bethe-ansatz for N =4 super Yang-Mills, JHEP 03 (2003) 013 [hep-th/0212208] [SPIRES].
N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N =4 super Yang-Mills theory, Nucl. Phys. B 664 (2003) 131 [hep-th/0303060] [SPIRES].
N. Beisert et al., Review of AdS/CFT integrability: an overview, arXiv:1012.3982 [SPIRES].
C. Kristjansen, Review of AdS/CFT integrability, chapter IV.1: aspects of non-planarity, arXiv:1012.3997 [SPIRES].
K. Okuyama and L.-S. Tseng, Three-point functions in N =4 SYM theory at one-loop, JHEP 08 (2004) 055 [hep-th/0404190] [SPIRES].
R. Roiban and A. Volovich, Yang-Mills correlation functions from integrable spin chains, JHEP 09 (2004) 032 [hep-th/0407140] [SPIRES].
L.F. Alday, J.R. David, E. Gava and K.S. Narain, Structure constants of planar N =4 Yang-Mills at one loop, JHEP 09 (2005) 070 [hep-th/0502186] [SPIRES].
J. Escobedo, N. Gromov, A. Sever and P. Vieira, Tailoring three-point functions and integrability, arXiv:1012.2475 [SPIRES].
A. Tsuji, Holography of Wilson loop correlator and spinning strings, Prog. Theor. Phys. 117 (2007) 557 [hep-th/0606030] [SPIRES].
R.A. Janik, P. Surowka and A. Wereszczynski, On correlation functions of operators dual to classical spinning string states, JHEP 05 (2010) 030 [arXiv:1002.4613] [SPIRES].
E.I. Buchbinder and A.A. Tseytlin, On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT, JHEP 08 (2010) 057 [arXiv:1005.4516] [SPIRES].
A.A. Tseytlin, On semiclassical approximation and spinning string vertex operators in AdS5 × S 5, Nucl. Phys. B 664 (2003) 247 [hep-th/0304139] [SPIRES].
E.I. Buchbinder, Energy-spin trajectories in AdS5 × S 5 from semiclassical vertex operators, JHEP 04 (2010) 107 [arXiv:1002.1716] [SPIRES].
K. Zarembo, Holographic three-point functions of semiclassical states, JHEP 09 (2010) 030 [arXiv:1008.1059] [SPIRES].
M.S. Costa, R. Monteiro, J.E. Santos and D. Zoakos, On three-point correlation functions in the gauge/gravity duality, JHEP 11 (2010) 141 [arXiv:1008.1070] [SPIRES].
R. Roiban and A.A. Tseytlin, On semiclassical computation of 3-point functions of closed string vertex operators in AdS5 × S 5 , Phys. Rev. D 82 (2010) 106011 [arXiv:1008.4921] [SPIRES].
R. Hernandez, Three-point correlation functions from semiclassical circular strings, J. Phys. A 44 (2011) 085403 [arXiv:1011.0408] [SPIRES].
S. Ryang, Correlators of vertex operators for circular strings with winding numbers in AdS5 × S 5, JHEP 01 (2011) 092 [arXiv:1011.3573] [SPIRES].
D. Arnaudov and R.C. Rashkov, On semiclassical calculation of three-point functions in AdS4 × CP 3, Phys. Rev. D 83 (2011) 066011 [arXiv:1011.4669] [SPIRES].
G. Georgiou, Two and three-point correlators of operators dual to folded string solutions at strong coupling, JHEP 02 (2011) 046 [arXiv:1011.5181] [SPIRES].
J.G. Russo and A.A. Tseytlin, Large spin expansion of semiclassical 3-point correlators in AdS5 × S 5, JHEP 02 (2011) 029 [arXiv:1012.2760] [SPIRES].
C. Park and B.-H. Lee, Correlation functions of magnon and spike, arXiv:1012.3293 [SPIRES].
E.I. Buchbinder and A.A. Tseytlin, Semiclassical four-point functions in AdS5 × S 5, JHEP 02 (2011) 072 [arXiv:1012.3740] [SPIRES].
V. Balasubramanian, M. Berkooz, A. Naqvi and M.J. Strassler, Giant gravitons in conformal field theory, JHEP 04 (2002) 034 [hep-th/0107119] [SPIRES].
J. Mc Greevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from anti-de Sitter space, JHEP 06 (2000) 008 [hep-th/0003075] [SPIRES].
A. Hashimoto, S. Hirano and N. Itzhaki, Large branes in AdS and their field theory dual, JHEP 08 (2000) 051 [hep-th/0008016] [SPIRES].
S. Corley, A. Jevicki and S. Ramgoolam, Exact correlators of giant gravitons from dual N =4 SYM theory, Adv. Theor. Math. Phys. 5 (2002) 809 [hep-th/0111222] [SPIRES].
D. Bak, B. Chen and J.-B. Wu, Holographic correlation functions for open strings and branes, JHEP 06 (2011) 014 [arXiv:1103.2024] [SPIRES].
E. D’Hoker and D.Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, hep-th/0201253 [SPIRES].
C. Kristjansen, J. Plefka, G. W.Semenoff and M. Staudacher, A new double-scaling limit of N =4 super Yang-Mills theory and PP-wave strings, Nucl. Phys. B 643 (2002) 3 [hep-th/0205033] [SPIRES].
S. Corley and S. Ramgoolam, Finite factorization equations and sum rules for BPS correlators in N =4 SYM theory, Nucl. Phys. B 641 (2002) 131 [hep-th/0205221] [SPIRES].
M.T. Grisaru, R.C. Myers and O. Tafjord, SUSY and Goliath, JHEP 08 (2000) 040 [hep-th/0008015] [SPIRES].
S. Giombi, R. Ricci and D. Trancanelli, Operator product expansion of higher rank Wilson loops from D-branes and matrix models, JHEP 10 (2006) 045 [hep-th/0608077] [SPIRES].
D.E. Berenstein, R. Corrado, W. Fischler and J.M. Maldacena, T he operator product expansion for Wilson loops and surfaces in the large-N limit, Phys. Rev. D 59 (1999) 105023 [hep-th/9809188] [SPIRES].
S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, Three-point functions of chiral operators in D =4, N =4 SYM at large-N, Adv. Theor. Math. Phys. 2 (1998) 697 [hep-th/9806074] [SPIRES].
H.J. Kim, L.J. Romans and P. van Nieuwenhuizen, The mass spectrum of chiral N =2 D = 10 supergravity on S 5 , Phys. Rev. D 32 (1985) 389 [SPIRES].
A. Dhar, G. Mandal and M. Smedback, From gravitons to giants, JHEP 03 (2006) 031 [hep-th/0512312] [SPIRES].
W. Carlson, R.d.M. Koch and H. Lin, Nonplanar integrability, JHEP 03 (2011) 105 [arXiv:1101.5404] [SPIRES].
M.M. Caldarelli and P.J. Silva, Multi giant graviton systems, SUSY breaking and CFT, JHEP 02 (2004) 052 [hep-th/0401213] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint:1103.4079v1
Rights and permissions
About this article
Cite this article
Bissi, A., Kristjansen, C., Young, D. et al. Holographic three-point functions of giant gravitons. J. High Energ. Phys. 2011, 85 (2011). https://doi.org/10.1007/JHEP06(2011)085
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2011)085