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.
