English

On parity functions in conformal field theories

High Energy Physics - Theory 2008-11-26 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9808158,
  title  = {On parity functions in conformal field theories},
  author = {D. Altschuler and P. Ruelle and E. Thiran},
  journal= {arXiv preprint arXiv:hep-th/9808158},
  year   = {2008}
}

Comments

18 pages, no figure, LaTeX2e