Marginal deformations of \(\mathcal{N} = 4 \text{ SYM}\) and open vs. closed string parameters. (English) Zbl 1325.81145
Summary: We make precise the connection between the generic Leigh-Strassler deformation of \(\mathcal{N} = 4 \text{ SYM}\) 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 {\(\rho\)}.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 81V17 | Gravitational interaction in quantum theory |
| 14D15 | Formal methods and deformations in algebraic geometry |
Keywords:
Leigh-Strassler deformationReferences:
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