sl^(2)_{-1/2}: A Case Study
High Energy Physics - Theory
2009-04-02 v2
Abstract
The construction of the non-logarithmic conformal field theory based on sl^(2)_{-1/2} is revisited. Without resorting to free-field methods, the determination of the spectrum and fusion rules is streamlined and the beta gamma ghost system is carefully derived as the extended algebra generated by the unique finite-order simple current. A brief discussion of modular invariance is given and the Verlinde formula is explicitly verified.
Cite
@article{arxiv.0810.3532,
title = {sl^(2)_{-1/2}: A Case Study},
author = {David Ridout},
journal= {arXiv preprint arXiv:0810.3532},
year = {2009}
}
Comments
33 pages, 2 figures v2: added refs and clarifying comments