Noncommutative geometry and gauge theory on fuzzy sphere

Ursula Carow-Watamura, Satoshi Watamura

Research output: Contribution to journalReview articlepeer-review

132 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)395-413
Number of pages19
JournalCommunications in Mathematical Physics
Volume212
Issue number2
DOIs
Publication statusPublished - 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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