Modular Bootstrap of Boundary N=2 Liouville Theory

Details Modular Bootstrap of Boundary N=2 Liouville Theory Modular Bootstrap of Boundary N=2 Liouville Theory

2004-09-25

arxiv.org/abs/hep-th/0409266v1

Comptes Rendus Physique 6 (2005) 209-217

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, contribution to the proceedings of strings 2004, June28-July2, Paris

Scientific paper

10.1016/j.crhy.2004.12.004

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.

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