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Prog. Theor. Phys. Vol. 106 No. 2 (2001) pp. 445-469

[ Full Text PDF : FREE ACCESS (223K) ]

Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model

Yusuke Kimura*

High Energy Accelerator Research Organization (KEK)
Tsukuba 305-0801, Japan
and
Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

(Received March 31, 2001)

Abstract:

We consider a reduced model of four-dimensional Yang-Mills theory with a mass term. This matrix model has two classical solutions, a two-dimensional fuzzy sphere and a two-dimensional fuzzy torus. These classical solutions are constructed by embedding them into three or four dimensional flat space. They exist for finite size matrices. Then, the number of quanta on these manifolds is finite. Noncommutative gauge theories on these noncommutative manifolds are derived by expanding the model around these classical solutions and studied by taking two large N limits, the commutative limit and the large radius limit. The behaviors of gauge invariant operators are also discussed.


URL : http://ptp.ipap.jp/link?PTP/106/445/
DOI : 10.1143/PTP.106.445


* E-mail: kimuray@post.kek.jp

[ Full Text PDF : FREE ACCESS (223K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 126 No. 4 (2011) pp. 613-636 :
    Split Noncommutativity and Compactified Brane Solutions in Matrix Models
    Harold Steinacker

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