Marginal deformations ofN = 4 SYM and open vs. closed string parameters
Author(s) -
Manuela Kulaxizi
Publication year - 2014
Publication title -
nuclear physics b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.157
H-Index - 274
eISSN - 1873-1562
pISSN - 0550-3213
DOI - 10.1016/j.nuclphysb.2014.08.005
Subject(s) - deformation (meteorology) , matrix (chemical analysis) , string (physics) , metric (unit) , construct (python library) , connection (principal bundle) , space (punctuation) , set (abstract data type) , mathematics , mathematical analysis , geometry , physics , mathematical physics , computer science , materials science , engineering , operations management , meteorology , composite material , programming language , operating system
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
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