Notes on gravity multiplet correlators in AdS 3 × S 3

Congkao Wen (School of Physics and Astronomy, Queen Mary University of London, London, E1 4NS, U.K.) ; Shun-Qing Zhang (School of Physics and Astronomy, Queen Mary University of London, London, E1 4NS, U.K.)

We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in (2, 0) supergravity on AdS 3 × S 3, with two operators in tensor multiplet and the other two in gravity multiplet. This is achieved by solving the recursion relation arising from a hidden six-dimensional conformal symmetry. We note the compact expression is obtained after carefully analysing the analytic structures of the correlators. Various limits of the correlators are studied, including the maximally R-symmetry violating limit and flat-space limit.

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      "value": "We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in (2, 0) supergravity on AdS 3 \u00d7 S 3, with two operators in tensor multiplet and the other two in gravity multiplet. This is achieved by solving the recursion relation arising from a hidden six-dimensional conformal symmetry. We note the compact expression is obtained after carefully analysing the analytic structures of the correlators. Various limits of the correlators are studied, including the maximally R-symmetry violating limit and flat-space limit."
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Published on:
19 July 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 7
Pages 1-23
DOI:
https://doi.org/10.1007/JHEP07(2021)125
arXiv:
2106.03499
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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