On Globalized Traces for the Poisson Sigma Model

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 Mode...

Descripción completa

Detalles Bibliográficos
Autor principal: Moshayedi, Nima
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9203441/
https://www.ncbi.nlm.nih.gov/pubmed/35726329
http://dx.doi.org/10.1007/s00220-022-04371-4
_version_ 1784728711223836672
author Moshayedi, Nima
author_facet Moshayedi, Nima
author_sort Moshayedi, Nima
collection PubMed
description 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.
format Online
Article
Text
id pubmed-9203441
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Springer Berlin Heidelberg
record_format MEDLINE/PubMed
spelling pubmed-92034412022-06-18 On Globalized Traces for the Poisson Sigma Model Moshayedi, Nima Commun Math Phys Article 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. Springer Berlin Heidelberg 2022-04-27 2022 /pmc/articles/PMC9203441/ /pubmed/35726329 http://dx.doi.org/10.1007/s00220-022-04371-4 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Moshayedi, Nima
On Globalized Traces for the Poisson Sigma Model
title On Globalized Traces for the Poisson Sigma Model
title_full On Globalized Traces for the Poisson Sigma Model
title_fullStr On Globalized Traces for the Poisson Sigma Model
title_full_unstemmed On Globalized Traces for the Poisson Sigma Model
title_short On Globalized Traces for the Poisson Sigma Model
title_sort on globalized traces for the poisson sigma model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9203441/
https://www.ncbi.nlm.nih.gov/pubmed/35726329
http://dx.doi.org/10.1007/s00220-022-04371-4
work_keys_str_mv AT moshayedinima onglobalizedtracesforthepoissonsigmamodel

Ejemplares similares