The C deformation of Gluino and nonplanar diagrams

Feb, 2003
33 pages
Published in:
  • Adv.Theor.Math.Phys. 7 (2003) 1, 53-85
  • Published: Feb, 2003
e-Print:
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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