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Mellin amplitudes for AdS3x S3

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Author(s):
Behan, Connor ; Pitombo, Rodrigo S.
Total Authors: 2
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 11, p. 50-pg., 2024-11-08.
Abstract

There are holographic superconformal theories in all dimensions between two and six which allow arbitrary tree-level four-point functions to be fixed by basic consistency conditions. Although Mellin space is usually the most efficient setting for imposing these contraints, four-point functions in two dimensions have thus far been an exception due to their more intricate dependence on the conformal cross-ratios. In this paper, we introduce a simple fix which exploits the relation between a parity-odd conformal block in two dimensions and a parity-even conformal block in four dimensions. We then apply the resulting toolkit to a study of the paradigmatic holographic theory in two dimensions which is the D1-D5 CFT. For correlators involving Kaluza-Klein modes of the tensor multiplet, this analysis reproduces results which were previously obtained using hidden conformal symmetry. With four Kaluza-Klein modes of the graviton multiplet, it yields new results including a compact formula for the correlators of all pairwise identical operators. (AU)

FAPESP's process: 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects
FAPESP's process: 22/05236-1 - Twistors in super-Yang-Mills and AdS_5xS5
Grantee:Rodrigo Schmidt Pitombo
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 19/24277-8 - Applications of quantum field theory
Grantee:Pedro Gil Martins Vieira
Support Opportunities: Research Projects - SPEC Program
FAPESP's process: 23/03825-2 - Scattering theory meets critical phenomena
Grantee:Connor Classen Behan
Support Opportunities: Scholarships in Brazil - Post-Doctoral