Non-anti-commutative deformation of effective potentials in supersymmetric gauge theories

Tomoya Hatanaka, Sergei V. Ketov, Yoshishige Kobayashi, Shin Sasaki

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


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 the latter. We found a non-vanishing gluino condensate in vacuum but no further dynamical supersymmetry breaking in the deformed theory.

Original languageEnglish
Pages (from-to)88-104
Number of pages17
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - 6 Jun 2005

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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