Holographic correlators in AdS3

Abstract

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 ×S 3 ×M, with 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 [1], 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 .

AdS3× S3 tree-level correlators: hidden six-dimensional conformal symmetry

“…We have obtained results for operators with conformal dimensions ∆ = 1, 2, 3, 4. Our result for ∆ = 1 reproduces the recent conjecture of [34]. We also discuss an independent method in Mellin space.…”

“…In the paradigmatic AdS/CFT example, namely the dual pair of N = 4 super Yang-Mills theory and IIB string theory on AdS 5 × S 5 , this new approach has led to a compelling methods [32][33][34][35]. For example, the four-point function of the KK modes with lowest conformal dimension was conjectured from a limit of the light-light-heavy-heavy correlators [34].…”

Microstate geometries at a generic point in moduli space

“…Instead, it suggests that one must concentrate on supertube-like solutions as the superstratum. Our findings are also consistent with previous results on the D1-D5 orbifold conformal field theory, since only supertube-like solutions seem to admit a holographic description within this framework [63][64][65][66].…”

Consistent S3 reductions of six-dimensional supergravity

“…We thus obtain a compact form of the full 6D metric 10) and may also compute the internal component of the 3-form field strength…”

“…They are of particular importance in holographic applications, ensuring the validity of lower-dimensional supergravity computations, such as holographic correlators and renormalization group (RG) flows [4]. This work deals with consistent sphere compactifications in the context of AdS 3 × S 3 , one of the central examples in the AdS/CFT correspondence [5] in which supergravity techniques have been successfully employed [6][7][8][9][10][11] in order to unravel the structure of the dual two-dimensional conformal field theories. Generic consistent S 3 truncations in (super)gravity have been discussed in [12][13][14], where the full non-linear Kaluza-Klein Ansätze were constructed for a higherdimensional theory that comprises the field content of the bosonic string.…”