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

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

2004-02-11

arxiv.org/abs/hep-th/0402085v2

JHEP 0404 (2004) 043

Physics

High Energy Physics

High Energy Physics - Theory

JHEP style, 25 pages, 2 figures, v2: minor corrections, reference added, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2004/04/043

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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