Marginal deformations of N=4 SYM and open vs. closed string parameters

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 whi...

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Bibliographic Details
Main Author: Manuela Kulaxizi
Format: Article
Language:English
Published: Elsevier 2014-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321314002600
Description
Summary: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 corresponding deformed flat space geometry up to third order in the deformation parameter ρ.
ISSN:0550-3213
1873-1562