The SO(6) Scalar Product and Three-Point Functions from Integrability

Abstract

In 1012.2475 Escobedo, Gromov, Sever and Vieira suggested a formula for an SU(2) three-point correlation function at weak coupling based on integrability techniques. We generalize it to the SO(6) sector, thus including all possible single-trace scalar operators in $\mathcal{N}=4$ super Yang-Mills, and prove by direct comparison to a perturbative SO(6) calculations that our generalization is valid.

10 pages, references added

References in corpus (4)

• Tailoring Three-Point Functions and Integrability IV. Theta-morphism
• An Izergin-Korepin procedure for calculating scalar products in six-vertex models
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory
• Slavnov determinants, Yang-Mills structure constants, and discrete KP

Cited by in corpus (2)

• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5