Modular Bootstrap of Boundary N=2 Liouville Theory
Abstract
We present our recent studies on the dynamics of boundary N=2 Liouville theory. We use the representation theory of N=2 superconformal algebra and the method of modular bootstrap to derive three classes of boundary states of the N=2 Liouville theory. Class 1 and 2 branes are analogues of ZZ and FZZT branes of N=0,1 Liouville theory while class 3 branes come from U(1) degrees of freedom. We compare our results with those of SL(2;R)/U(1) supercoset which is known to be T-dual to N=2 Liouville theory and describes the geometry of 2d black hole. We find good agreements with known results in SL(2;R)/U(1) theory obtained by semi-classical analysis using DBI action. We also comment on the duality of N=2 Liouville theory.
Keywords
Cite
@article{arxiv.hep-th/0409266,
title = {Modular Bootstrap of Boundary N=2 Liouville Theory},
author = {Tohru Eguchi},
journal= {arXiv preprint arXiv:hep-th/0409266},
year = {2009}
}
Comments
12 pages, Latex, contribution to the proceedings of strings 2004, June28-July2, Paris