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arXiv · 1310.8514

On The Real Part of a Conformal Field Theory

Doron Gepner·Herve Partouche
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Abstract

Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the coulomb gas representation. Examples of parafermions, $SU(2)$ current algebra and the $N=2$ minimal models are described explicitly. The partition functions and the dimensions of the disordered fields are given. This result is a tool for finding new theories.

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Doron Gepner, Herve Partouche. 2013-10-31. On The Real Part of a Conformal Field Theory. https://arxiv.org/abs/1310.8514

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