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# Advances in Theoretical and Mathematical Physics

## Volume 7 (2003)

### Number 1

### The *C*-deformation of gluino and non-planar diagrams

Pages: 53 – 85

DOI: http://dx.doi.org/10.4310/ATMP.2003.v7.n1.a3

#### Authors

#### 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* 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.