Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-03-13
Nucl.Phys.B665:520-544,2003
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, 1 figure, published version in Nucl Phys. B
Scientific paper
10.1016/S0550-3213(03)00491-7
We investigate quantum corrections in non-commutative gauge theory on fuzzy sphere. We study translation invariant models which classically favor a single fuzzy sphere with U(1) gauge group. We evaluate the effective actions up to the two loop level. We find non-vanishing quantum corrections at each order even in supersymmetric models. In particular the two loop contribution favors U(n) gauge group over U(1) contrary to the tree action in a deformed IIB matrix model with a Myers term. We further observe close correspondences to 2 dimensional quantum gravity.
Imai Takayuki
Kitazawa Yoshihisa
Takayama Yukihide
Tomino Dan
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