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Holographic 4-point correlators with heavy states

Andrea Galliani
(
- INFN, Padua and
- Padua U.
)
,
Stefano Giusto
(
- INFN, Padua and
- Padua U.
)
,
Rodolfo Russo
(
- Queen Mary, U. of London
)

May 25, 2017

31 pages

Published in:

JHEP 10 (2017) 040

Published: Oct 6, 2017

e-Print:

1705.09250 [hep-th]

DOI:

10.1007/JHEP10(2017)040

View in:

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Abstract: (Springer)

The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it is possible to derive the 4-point correlators of two light and two heavy states in the supergravity approximation. We provide an explicit example in the AdS

_{3}

setup relevant for the duality with the D1-D5 CFT. Contrary to previously studied examples, the supergravity correlator derived in this work differs from the result obtained at the CFT orbifold point. Our method bypasses the difficulties of applying the standard Witten’s diagrams approach to correlators with operators of large conformal dimension and also avoids some technical steps that have made the computation of dynamical 4-point correlators in the AdS

_{3}

/CFT

_{2}

context unfeasible until now.

Note:

31 pages; v3: citations added, typos corrected

AdS-CFT Correspondence
Black Holes in String Theory
field theory: conformal
dimension: conformal
supergravity: solution
correlation function
anti-de Sitter
duality
AdS/CFT correspondence
central charge

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Figures(0)

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