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Title: On supermatrix models, Poisson geometry, and noncommutative supersymmetric gauge theories

Abstract

We construct a new supermatrix model which represents a manifestly supersymmetric noncommutative regularisation of the UOSp(2|1) supersymmetric Schwinger model on the supersphere. Our construction is much simpler than those already existing in the literature and it was found by using Poisson geometry in a substantial way.

Authors:
 [1]
  1. Aix Marseille Université, CNRS, Centrale Marseille I2M, UMR 7373, 13453 Marseille (France)
Publication Date:
OSTI Identifier:
22479570
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 56; Journal Issue: 12; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMMUTATION RELATIONS; GAUGE INVARIANCE; GEOMETRY; SCHWINGER-TOMONAGA FORMALISM; SUPERSYMMETRY

Citation Formats

Klimčík, Ctirad. On supermatrix models, Poisson geometry, and noncommutative supersymmetric gauge theories. United States: N. p., 2015. Web. doi:10.1063/1.4937450.
Klimčík, Ctirad. On supermatrix models, Poisson geometry, and noncommutative supersymmetric gauge theories. United States. https://doi.org/10.1063/1.4937450
Klimčík, Ctirad. 2015. "On supermatrix models, Poisson geometry, and noncommutative supersymmetric gauge theories". United States. https://doi.org/10.1063/1.4937450.
@article{osti_22479570,
title = {On supermatrix models, Poisson geometry, and noncommutative supersymmetric gauge theories},
author = {Klimčík, Ctirad},
abstractNote = {We construct a new supermatrix model which represents a manifestly supersymmetric noncommutative regularisation of the UOSp(2|1) supersymmetric Schwinger model on the supersphere. Our construction is much simpler than those already existing in the literature and it was found by using Poisson geometry in a substantial way.},
doi = {10.1063/1.4937450},
url = {https://www.osti.gov/biblio/22479570}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 12,
volume = 56,
place = {United States},
year = {Tue Dec 15 00:00:00 EST 2015},
month = {Tue Dec 15 00:00:00 EST 2015}
}