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

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

2007-11-19

arxiv.org/abs/0711.2826v2

J.Phys.A41:304032,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1751-8113/41/30/304032

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 $G=SU(n)$ with $n\geq5$ 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.

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