Multiple-Trace Operators and Non-Local String Theories

Abstract

We propose that a novel deformation of string perturbation theory, involving non-local interactions between strings, is required to describe the gravity duals of field theories deformed by multiple-trace operators. The new perturbative expansion involves a new parameter, which is neither the string coupling nor the coefficient of a vertex operator on the worldsheet. We explore some of the properties of this deformation, focusing on a special case where the deformation in the field theory is exactly marginal.

21 pages, harvmac big. v2: references added; larger branch of QFT moduli space included; comments on graviton scattering added

References in corpus (2)

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