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arXiv · hep-th/0402085

Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory

Dan Israel·Ari Pakman·Jan Troost
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Abstract

We define extended SL(2,R)/U(1) characters which include a sum over winding sectors. By embedding these characters into similarly extended characters of N=2 algebras, we show that they have nice modular transformation properties. We calculate the modular matrices of this simple but non-trivial non-rational conformal field theory explicitly . As a result, we show that discrete SL(2,R) representations mix with continuous SL(2,R) representations under modular transformations in the coset conformal field theory. We comment upon the significance of our results for a general theory of non-rational conformal field theories.

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Dan Israel, Ari Pakman, Jan Troost. 2004-04-21. Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory. https://doi.org/10.1088/1126-6708%2F2004%2F04%2F043

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