Logarithmic Extensions of Minimal Models : Characters and Modular Transformations

@inproceedings{Gainutdinov2006LogarithmicEO,
title={Logarithmic Extensions of Minimal Models : Characters and Modular Transformations},
author={Azat M. Gainutdinov and A. M. SEMIKHATOV and I. YU. TIPUNIN and BSTRACT},
year={2006}
}

We study logarithmic conformal field models that extend the (p, q) Virasoro minimal models. For coprime positive integers p and q, the model is defined as the kernel of the two minimal-model screening operators. We identify the field content, construct the W-algebra W p,q that is the model symmetry (the maximal local algebra in the kernel), describe its irreducible modules, and find their characters. We then derive the SL(2, Z)-representation on the space of torus amplitudes and study its… CONTINUE READING