Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-02-02
Nucl.Phys. B716 (2005) 88-104
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, LaTeX; small changes, additions and references added
Scientific paper
10.1016/j.nuclphysb.2005.03.009
We studied a nilpotent Non-Anti-Commutative (NAC) deformation of the effective superpotentials in supersymmetric gauge theories, caused by a constant self-dual graviphoton background. We derived the simple non-perturbative formula applicable to any NAC (star) deformed chiral superpotential. It is remarkable that the deformed superpotential is always `Lorentz'-invariant. As an application, we considered the NAC deformation of the pure super-Yang-Mills theory whose IR physics is known to be described by the Veneziano-Yankielowicz superpotential (in the undeformed case). The unbroken gauge invariance of the deformed effective action gives rise to severe restrictions on its form. We found a non-vanishing gluino condensate in vacuum but no further dynamical supersymmetry breaking in the deformed theory.
Hatanaka Tomoya
Ketov Sergei V.
Kobayashi Yasuaki
Sasaki Satoshi
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