On Globalized Traces for the Poisson Sigma Model
arXiv:1912.02435 · doi:10.1007/s00220-022-04371-4
Abstract
A globalized version of a trace formula for the Poisson Sigma Model on the disk is presented by using its formal global picture in the setting of the Batalin-Vilkovisky formalism. This global construction includes the concept of zero modes. Moreover, for the symplectic case of the Poisson Sigma Model with cotangent target, the globalized trace reduces to a symplectic construction which was presented by Grady, Li and Li for 1-dimensional Chern-Simons theory (topological quantum mechanics). In addition, the connection between this formula and the Nest-Tsygan theorem and the Tamarkin-Tsygan theorem is explained.
42 pages, 12 figures
References in corpus (5)
- Introduction to the BV-BFV formalism
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- Equivariant Batalin-Vilkovisky formalism
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Cited by in corpus (4)
- 4-Manifold Topology, Donaldson-Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism
- Geometry of Localized Effective Theories, Exact Semi-classical Approximation and the Algebraic Index
- Lectures on Symplectic Geometry, Poisson Geometry, Deformation Quantization and Quantum Field Theory
- Computation of Kontsevich Weights of Connection and Curvature Graphs for Symplectic Poisson Structures