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.
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 - https://www.scopus.com/pages/publications/84959166182
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 -