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Generalized parity transformations in lattice Chern-Simons theory

C. D. Fosco·A. Lopez
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Abstract

Regularization modifies the (odd) behaviour of the Abelian Chern-Simons action under parity. This effect happens for any sensible regularization; in particular, on the lattice. However, as in the chiral symmetry case, there exist generalized parity transformations such that the regularized theory is odd, and the corresponding operator verifies a Ginsparg-Wilson like relation. We present a derivation of such a relation and of the corresponding symmetry transformations.

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C. D. Fosco, A. Lopez. 2001-10-04. Generalized parity transformations in lattice Chern-Simons theory. https://arxiv.org/abs/hep-th/0110043

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