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arXiv · 1912.02435

On Globalized Traces for the Poisson Sigma Model

Nima Moshayedi
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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.

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Nima Moshayedi. 2019-12-05. On Globalized Traces for the Poisson Sigma Model. https://doi.org/10.1007/s00220-022-04371-4

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