The C deformation of Gluino and nonplanar diagrams
Feb, 200333 pages
Published in:
- Adv.Theor.Math.Phys. 7 (2003) 1, 53-85
- Published: Feb, 2003
e-Print:
- hep-th/0302109 [hep-th]
Report number:
- CALT-68-2428,
- HUTP-03-A014
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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.- gauge field theory: Yang-Mills
- supersymmetry: superfield
- gluino
- perturbation theory: higher-order
- field theory: deformation
- string model
- scattering amplitude
- Riemann surface
- matrix model
- partition function
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