550 citations
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Showing 2008 · hep-thShow all
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hep-th2008★ 10 cited
Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
Hajime Aoki, Jun Nishimura, Yoshiaki Susaki
We present a novel finite-matrix formulation of gauge theories on a non-commutative torus. Unlike the previous formulation based on a map from a square matrix to a field on a discr…
hep-th2008★ 10 cited
Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
Hajime Aoki, Yoshiko Hirayama, Satoshi Iso
We consider a gauge-Higgs system on a fuzzy 2-sphere and study the topological structure of gauge configurations, when the U(2) gauge symmetry is spontaneously broken to U(1) times…