TY - JOUR
T1 - Noncommutative geometry and gauge theory on fuzzy sphere
AU - Carow-Watamura, Ursula
AU - Watamura, Satoshi
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2000
Y1 - 2000
N2 - The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U (1) gauge theory on the fuzzy sphere based on this differential algebra is defined. The local U (1) gauge transformation on the fuzzy sphere is identified with the left U (N + 1) transformation of the field, where a field is a bimodule over the quantized algebra AN. The interaction with a complex scalar field is also given.
AB - The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U (1) gauge theory on the fuzzy sphere based on this differential algebra is defined. The local U (1) gauge transformation on the fuzzy sphere is identified with the left U (N + 1) transformation of the field, where a field is a bimodule over the quantized algebra AN. The interaction with a complex scalar field is also given.
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U2 - 10.1007/s002200000213
DO - 10.1007/s002200000213
M3 - Review article
AN - SCOPUS:0034349024
SN - 0010-3616
VL - 212
SP - 395
EP - 413
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -