Marginal Deformations of N=4 SYM and Open vs. Closed String Parameters

Abstract

We make precise the connection between the generic Leigh--Strassler deformation of N=4 SYM and noncommutativity. We construct an appropriate noncommutativity matrix, which turns out to define a nonassociative deformation. Viewing this noncommutativity matrix as part of the set of open string data which characterize the deformation and mapping them to the closed string data (e.g. metric and B--field), we are able to construct the gravity dual and the the correponding deformed flat space geometry up to third order in the deformation parameter.

typos corrected, references added, main changes in introduction and discussion section, no changes in results

References in corpus (5)

• Amplitudes in the beta-deformed Conformal Yang-Mills
• Holographic Coulomb branch vevs
• Lunin-Maldacena Deformations With Three Parameters
• The general Leigh-Strassler deformation and integrability
• Conformal invariance of the planar beta-deformed N=4 SYM theory requires beta real

Cited by in corpus (1)

• Integrable Hopf twists, marginal deformations and generalised geometry