The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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more references and explanation about rgularization dpendence are included, 13 pages, 1 figure, latex with revtex

Scientific paper

10.1103/PhysRevD.60.065013

By taking into account the effect of the would be Chern-Simons term, we calculate the quantum correction to the Chern-Simons coefficient in supersymmetric Chern-Simons Higgs theories with matter fields in the fundamental representation of SU(n). Because of supersymmetry, the corrections in the symmetric and Higgs phases are identical. In particular, the correction is vanishing for N=3 supersymmetric Chern-Simons Higgs theories. The result should be quite general, and have important implication for the more interesting case when the Higgs is in the adjoint representation.

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