Preprint TU-528 January 1998 revised : December 1999 Noncommutative Geometry and Gauge Theory on Fuzzy Sphere

@inproceedings{CarowWatamura1998PreprintTJ,
  title={Preprint TU-528 January 1998 revised : December 1999 Noncommutative Geometry and Gauge Theory on Fuzzy Sphere},
  author={Ursula Carow-Watamura and Satoshi Watamura},
  year={1998}
}
  • Ursula Carow-Watamura, Satoshi Watamura
  • Published 1998
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. 1 e-mail: ursula@tuhep.phys.tohoku.ac.jp e-mail: watamura@tuhep.phys.tohoku.ac.jp 
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