Observables in the equivariant A-model

Abstract

We discuss observables of an equivariant extension of the A-model in the framework of the AKSZ construction. We introduce the A-model observables, a class of observables that are homotopically equivalent to the canonical AKSZ observables but are better behaved in the gauge fixing. We discuss them for two different choices of gauge fixing: the first one is conjectured to compute the correlators of the A-model with target the Marsden-Weinstein reduced space; in the second one we recover the topological Yang-Mills action coupled with A-model so that the A-model observables are closed under supersymmetry.

arXiv comment16 pages; minor corrections

References in corpus (7)

• Two Dimensional Gauge Theories Revisited
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Geometry of Batalin-Vilkovisky quantization
• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
• Poisson sigma model on the sphere
• Gauging the Poisson sigma model
• Comparing Poisson Sigma Model with A-model

Cited by in corpus (1)

• A topological quantum field theory for $\mathrm{Spin}(7)$-instantons