N=2 Liouville Theory with Boundary

Abstract

We study N=2 Liouville theory with arbitrary central charge in the presence of boundaries. After reviewing the theory on the sphere and deriving some important structure constants, we investigate the boundary states of the theory from two approaches, one using the modular transformation property of annulus amplitudes and the other using the bootstrap of disc two-point functions containing degenerate bulk operators. The boundary interactions describing the boundary states are also proposed, based on which the precise correspondence between boundary states and boundary interactions is obtained. The open string spectrum between D-branes is studied from the modular bootstrap approach and also from the reflection relation of boundary operators, providing a consistency check for the proposal.

1+48 pages, no figure. typos corrected and references added. the version to appear in JHEP

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• Stringy Structure at the BPS Bound
• String Theory on Warped AdS_3 and Virasoro Resonances
• Structure constants of the OSP(1|2) WZNW model
• Boundary Correlators in Supergroup WZNW Models
• Non-Supersymmetric Seiberg Duality, Orientifold QCD and Non-Critical Strings
• Tree-Level Stability Without Spacetime Fermions: Novel Examples in String Theory
• Liouville Field, Modular Forms and Elliptic Genera
• Solution of the H3+ model on a disc
• A common limit of super Liouville theory and minimal models
• Conformally invariant boundary conditions in the antiferromagnetic Potts model and the $SL(2,\mathbb{R})/U(1)$ sigma model
• Branes in the OSP(1|2) WZNW model
• Hairpin-Branes and Tachyon-Paperclips in Holographic Backgrounds
• The FZZ duality with boundary
• Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry
• N=2 superconformal blocks and instanton partition functions
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• The limit of N=(2,2) superconformal minimal models
• On supersymmetry breaking in string theory from gauge theory in a throat
• Conformal blocks of Chiral fields in N=2 SUSY CFT and Affine Laumon Spaces
• Orientifolds in N=2 Liouville Theory and its Mirror
• Higher Equations of Motion in N=2 Superconformal Liouville Field Theory