Gravity Induced C-Deformation

Abstract

We study F-terms describing coupling of the supergravity to N=1 supersymmetric gauge theories which admit large N expansions. We show that these F-terms are given by summing over genus one non-planar diagrams of the large N expansion of the associated matrix model (or more generally bosonic gauge theory). The key ingredient in this derivation is the observation that the chiral ring of the gluino fields is deformed by the supergravity fields, generalizing the C-deformation which was recently introduced. The gravity induced part of the C-deformation can be derived from the Bianchi identities of the supergravity, but understanding gravitational corrections to the F-terms requires a non-traditional interpretation of these identities.

13 pages

References in corpus (10)

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Cited by in corpus (19)

• Comments on Noncommutative Superspace
• Supersymmetric Gauge Theories on Noncommutative Superspace
• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• N=1/2 Wess-Zumino model is renormalizable
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
• Cyclicity of non-associative products on D-branes
• Supersymmetric CP^N Sigma Model on Noncommutative Superspace
• Non-Commutative Geometry from Strings
• Planar Gravitational Corrections For Supersymmetric Gauge Theories
• Note on a fermionic solution of the matrix model and noncommutative superspace
• Gravitational F-terms of N=1 Supersymmetric SU(N) Gauge Theories
• Note on Gauge Theory on Fuzzy Supersphere
• The Glueball Superpotential
• Supersymmetric Lorentz invariant deformations of superspaces
• Remarks on Phase Transitions in Matrix Models and N=1 Supersymmetric Gauge Theory
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• Lorentz invariant supersymmetric mechanism for non(anti)commutative deformations of space-time geometry
• Aspects of Supersymmetric Gauge Theory and String Theory