Equivariance, BRST and Superspace

Abstract

The structure of equivariant cohomology in non-abelian localization formulas and topological field theories is discussed. Equivariance is formulated in terms of a nilpotent BRST symmetry, and another nilpotent operator which restricts the BRST cohomology onto the equivariant, or basic sector. A superfield formulation is presented and connections to reducible (BFV) quantization of topological Yang-Mills theory are discussed.

(24 pages, report UU-ITP and HU-TFT-93-65)

References in corpus (6)

• Two Dimensional Gauge Theories Revisited
• On Exact Evaluation of Path Integrals
• BRST model applied to symplectic geometry
• Cohomological Partition Functions for a Class of Bosonic Theories
• Index Theorems and Loop Space Geometry
• Symplectic Geometry of Supersymmetry and Nonlinear Sigma Model

Cited by in corpus (3)

• Equivariant Localization of Path Integrals
• On the "Universal" N=2 Supersymmetry of Classical Mechanics
• On the general structure of gauged Wess-Zumino-Witten terms