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 -