2018/07/31 by F. Bonechi, A. S. Cattaneo, R. Iraso +1
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Class (philosophy) #Equivariant map #Extension (predicate logic) #Gauge (firearms) #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Observable #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1007/s11005-019-01236-1
published as Lett. Math. Phys. 110, 695-711 (2020) · 16 pages; minor corrections
arxiv created 2019/11/04 · openalex publication_date 2019/11/13 · openalex created_date 2019/11/22 · arxiv updated 2020/11/17 · openalex updated_date 2026/08/05
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.