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VOL. 15 | 2014 An $S^1$-Reduction of Non-Formal Star Product
Tomoyo Kanazawa, Akira Yoshioka

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Abstract

Starting from the Moyal product on eight-dimensional canonical Euclidean phase space $T^* \mathbb{R}^4$ with an $S^1$-symplectic action, we construct a non-formal star product, i.e., the deformation parameter is a real number, on the cotangent bundle of three-dimensional Euclidean space except the origin $T^* (\mathbb{R}^3\backslash\{\rm 0\})$ which is the reduced symplectic manifold by the $S^1$-action.

Information

Published: 1 January 2014
First available in Project Euclid: 13 July 2015

zbMATH: 1318.53103
MathSciNet: MR3287756

Digital Object Identifier: 10.7546/giq-15-2014-162-172

Rights: Copyright © 2014 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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