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

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Cited by in corpus (9)

• Worldsheet Form Factors in AdS/CFT
• Asymptotic Four Point Functions
• Comments on World-Sheet Form Factors in AdS/CFT
• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Structure constants of $\beta$ deformed super Yang-Mills
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3