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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics