Notes on gravity multiplet correlators in \( \mathrm{AdS}_3 \times S^3\)

DOI10.1007/JHEP07(2021)125zbMATH Open1468.83067arXiv2106.03499OpenAlexW3169915079MaRDI QIDQ1981497

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Publication date: 3 September 2021

Published in: (Search for Journal in Brave)

Abstract: 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 $Ad{S}_{3}imes{S}^3$, 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.

Full work available at URL: https://arxiv.org/abs/2106.03499

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