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.

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

References in corpus (3)

• The Annular Report on Non-Critical String Theory
• D-branes and extended characters in SL(2,R)/U(1)
• ZZ-Branes of N=2 Super-Liouville Theory

Cited by in corpus (4)

• Non-compact String Backgrounds and Non-rational CFT
• The Veneziano Limit of N=2 Superconformal QCD: Towards the String Dual of N=2 SU(N_c) SYM with N_f =2 N_c
• The Ground Ring of N=2 Minimal String Theory
• Notes on S-Matrix of Non-critical N=2 String