Searching for new homogeneous sine-Gordon theories using T-duality symmetries

J. Luis Miramontes

doi:10.1088/1751-8113/41/30/304032

paper

Searching for new homogeneous sine-Gordon theories using T-duality symmetries

arXiv:0711.2826 · doi:10.1088/1751-8113/41/30/304032

Abstract

The Homogeneous sine-Gordon (HSG) theories are integrable perturbations of $G_{k} / U (1)^{r_{G}}$ coset CFTs, where $G$ is a simple compact Lie group of rank $r_{G}$ and $k > 1$ is an integer. Using their T-duality symmetries, we investigate the relationship between the different theories corresponding to a given coset, and between the different phases of a particular theory. Our results suggest that for $G = S U (n)$ with $n \geq 5$ and $E_{6}$ there could be two non-equivalent HSG theories associated to the same coset, one of which has not been considered so far.

Minor changes. Final version published in J. Phys A: Math. Theor