TY - GEN

T1 - Deformation quantization with separation of variables and gauge theories

AU - Maeda, Yoshiaki

AU - Sako, Akifumi

AU - Suzuki, Toshiya

AU - Umetsu, Hiroshi

N1 - Publisher Copyright:
© 2015 Springer International Publishing Switzerland.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2015

Y1 - 2015

N2 - We construct a gauge theory on a noncommutative homogeneous Kähler manifold by using the deformation quantization with separation of variables for Kähler manifolds. A model of noncommutative gauge theory that is connected with an ordinary Yang-Mills theory in the commutative limit is given. As an examples, we review a noncommutative ℂPN and construct a gauge theory on it. We also give details of the proof showing that the noncommutative ℂPN constructed in this paper coincides with the one given by Bordemann, Brischle, Emmrich and Waldmann [1].

AB - We construct a gauge theory on a noncommutative homogeneous Kähler manifold by using the deformation quantization with separation of variables for Kähler manifolds. A model of noncommutative gauge theory that is connected with an ordinary Yang-Mills theory in the commutative limit is given. As an examples, we review a noncommutative ℂPN and construct a gauge theory on it. We also give details of the proof showing that the noncommutative ℂPN constructed in this paper coincides with the one given by Bordemann, Brischle, Emmrich and Waldmann [1].

KW - Gauge theory

KW - Noncommutative geometry

UR - http://www.scopus.com/inward/record.url?scp=84959166182&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959166182&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-18212-4_9

DO - 10.1007/978-3-319-18212-4_9

M3 - Conference contribution

AN - SCOPUS:84959166182

SN - 9783319182117

T3 - Trends in Mathematics

SP - 135

EP - 144

BT - Geometric Methods in Physics - 33rd Workshop, 2014

A2 - Kielanowski, Piotr

A2 - Bieliavsky, Pierre

A2 - Odzijewicz, Anatol

A2 - Schlichenmaier, Martin

A2 - Voronov, Theodore

PB - Springer International Publishing

T2 - 33rd Workshop on Geometric Methods in Physics, 2014

Y2 - 29 June 2014 through 5 July 2014

ER -