Chern-Simons action for zero-mode supporting gauge fields in three dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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version as published in PRD, minor changes

Scientific paper

10.1103/PhysRevD.67.087703

Recent results on zero modes of the Abelian Dirac operator in three
dimensions support to some degree the conjecture that the Chern-Simons action
admits only certain quantized values for gauge fields that lead to zero modes
of the corresponding Dirac operator. Here we show that this conjecture is wrong
by constructing an explicit counter-example.

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