The <i>C</i>-deformation of gluino and non-planar diagrams

Abstract

We consider a deformation of N = 1 supersymmetric gauge theories in four dimensions, which w e c a l l t h e C-deformation, where the gluino eld satis es a Cli ord-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 identi cation, the strength of the two-form controls the genus expansion of the matrix model partition function.For the case of pure N = 1 Y ang-Mills this deformation leads to the identi cation 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.

Locations

• Advances in Theoretical and Mathematical Physics - View - PDF
• arXiv (Cornell University) - View - PDF