Superspace Gauge Fixing of Topological Yang-Mills Theories

Abstract

We revisit the construction of topological Yang-Mills theories of the Witten type with arbitrary space-time dimension and number of ``shift supersymmetry'' generators, using a superspace formalism. The super-BF structure of these theories is exploited in orderto determine their actions uniquely, up to the ambiguities due to the fixing of the Yang-Mills and BF gauge invariance. UV finiteness to all orders of perturbation theory is proved in a gauge of the Landau type.

arXiv comment26 pages, no figures, Latex

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Cited by in corpus (9)

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• M-Theory on Deformed Superspace
• Supersymmetric Chern-Simons Theory in Presence of a Boundary
• Harmonic Superspace Gaugeon Formalism for the ABJM Theory
• Gauge and Supersymmetric Invariance of a Boundary Bagger-Lambert-Gustavsson Theory
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• Deformed Super-Yang-Mills in Batalin-Vilkovisky Formalism
• Symmetries and observables in topological gravity
• Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry