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Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997
P. Di Francesco, P. Mathieu, and D. Senechal, Conformal Field Theory · 1997
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman, and L. Rastelli, “AdS / CFT four point functions: How to succeed at z integrals without really trying,” Nucl. Phys
1999
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G. Arutyunov, A. Pankiewicz, and S. Theisen, “Cubic couplings in D = 6 N=4b supergravity on AdS(3) x S**3,” Phys. Rev
2001
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V. Balasubramanian, J. de Boer, E. Keski-Vakkuri, and S. F. Ross, “Supersymmetric conical defects: Towards a string theoretic description of black hole formation,” Phys. Rev
2001
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O. Lunin and S. D. Mathur, “Metric of the multiply wound rotating string,” Nucl. Phys
2001
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B. Eden, A. C. Petkou, C. Schubert and E. Sokatchev, “Partial nonrenormalization of the stress tensor four point function in N=4 SYM and AdS / CFT,” Nucl. Phys
2001
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O. Lunin and S. D. Mathur, “AdS/CFT duality and the black hole information paradox,” Nucl. Phys
2002
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J. M. Maldacena and L. Maoz, “Desingularization by rotation,” JHEP
2002
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M. Nirschl and H. Osborn, Nucl. Phys. B
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I. Kanitscheider, K. Skenderis, and M. Taylor, “Fuzzballs with internal excitations,” JHEP
Original
2007
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2018

Holographic correlators in AdS$_3$

Giusto, Stefano, Russo, Rodolfo, Wen, Congkao

Understand

We derive the four-point correlators of scalar operators of dimension one in the supergravity limit of the D1D5 CFT holographically dual to string theory on AdS$_3\times S^3\times \mathcal{M}$, with $\mathcal{M}$ either $T^4$ or $K3$.

We avoid the use of Witten diagrams but deduce our result from a limit of the heavy-heavy-light-light correlators computed in arXiv:1705.09250, together with several consistency requirements of the OPE in the various channels.
This result represents the first holographic correlators of single-trace operators computed in AdS$_3$.

Built on

Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997
P. Di Francesco, P. Mathieu, and D. Senechal, Conformal Field Theory · 1997
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman, and L. Rastelli, “AdS / CFT four point functions: How to succeed at z integrals without really trying,” Nucl. Phys
1999
Earlier work this paper cites.
G. Arutyunov, A. Pankiewicz, and S. Theisen, “Cubic couplings in D = 6 N=4b supergravity on AdS(3) x S**3,” Phys. Rev
2001
Earlier work this paper cites.
V. Balasubramanian, J. de Boer, E. Keski-Vakkuri, and S. F. Ross, “Supersymmetric conical defects: Towards a string theoretic description of black hole formation,” Phys. Rev
2001
Earlier work this paper cites.
O. Lunin and S. D. Mathur, “Metric of the multiply wound rotating string,” Nucl. Phys
2001
Earlier work this paper cites.
B. Eden, A. C. Petkou, C. Schubert and E. Sokatchev, “Partial nonrenormalization of the stress tensor four point function in N=4 SYM and AdS / CFT,” Nucl. Phys
2001
Earlier work this paper cites.
O. Lunin and S. D. Mathur, “AdS/CFT duality and the black hole information paradox,” Nucl. Phys
2002
Earlier work this paper cites.
J. M. Maldacena and L. Maoz, “Desingularization by rotation,” JHEP
2002
Earlier work this paper cites.
M. Nirschl and H. Osborn, Nucl. Phys. B
2005
Earlier work this paper cites.
I. Kanitscheider, K. Skenderis, and M. Taylor, “Fuzzballs with internal excitations,” JHEP
Original
2007
Earlier work this paper cites.