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

2006/12/15 by Manuela Kulaxizi, Kulaxizi, Manuela
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0612160

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

arxiv created 2014/08/12 · arxiv updated 2014/08/13

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.

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