On parity functions in conformal field theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, no figure, LaTeX2e

Scientific paper

10.1088/0305-4470/32/19/307

We examine general aspects of parity functions arising in rational conformal
field theories, as a result of Galois theoretic properties of modular
transformations. We focus more specifically on parity functions associated with
affine Lie algebras, for which we give two efficient formulas. We investigate
the consequences of these for the modular invariance problem.

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