The C-Deformation of Gluino and Non-planar Diagrams

Abstract

We consider a deformation of N=1 supersymmetric gauge theories in four dimensions, which we call the C-deformation, where the gluino field satisfies a Clifford-like algebra dictated by a self-dual two-form, instead of the standard Grassmannian algebra. The superpotential of the deformed gauge theory is computed by the full partition function of an associated matrix model (or more generally a bosonic gauge theory), including non-planar diagrams. In this identification, the strength of the two-form controls the genus expansion of the matrix model partition function. For the case of pure N=1 Yang-Mills this deformation leads to the identification of the all genus partition function of c=1 non-critical bosonic string at self-dual radius as the glueball superpotential. Though the C-deformation violates Lorentz invariance, the deformed F-terms are Lorentz invariant and the Lorentz violation is screened in the IR.

arXiv comment32 pages, 4 figures; References added. The definition of the C-deformation clarified

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Cited by in corpus (13)

• Supersymmetric Gauge Theories on Noncommutative Superspace
• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• N=1/2 Wess-Zumino model is renormalizable
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• Super-Chern-Simons Theory as Superstring Theory
• Gravity Induced C-Deformation
• Planar Gravitational Corrections For Supersymmetric Gauge Theories
• Note on a fermionic solution of the matrix model and noncommutative superspace
• Note on Gauge Theory on Fuzzy Supersphere
• The Glueball Superpotential
• Remarks on Phase Transitions in Matrix Models and N=1 Supersymmetric Gauge Theory
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• Twist Deformations of the Supersymmetric Quantum Mechanics