On parity functions in conformal field theories

Altschuler, D.; Ruelle, P.; Thiran, E.

doi:10.1088/0305-4470/32/19/307

On parity functions in conformal field theories

Aug, 1998

18 pages

Published in:

J.Phys.A 32 (1999) 3555-3570

e-Print:

hep-th/9808158 [hep-th]

DOI:

10.1088/0305-4470/32/19/307

Report number:

UCL-IPT-98-13

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Abstract:

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.

Note:

18 pages, no figure, LaTeX2e Report-no: UCL-IPT-98-13

field theory: conformal
field theory: rational
dimension: 2
parity
cohomology

References(11)

Figures(0)

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