Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-14
Adv.Theor.Math.Phys.7:53-85,2003
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 4 figures; References added. The definition of the C-deformation clarified
Scientific paper
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.
Ooguri Hirosi
Vafa Cumrun
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