Boundary Liouville theory at c=1

Abstract

The c=1 Liouville theory has received some attention recently as the Euclidean version of an exact rolling tachyon background. In an earlier paper it was shown that the bulk theory can be identified with the interacting c=1 limit of unitary minimal models. Here we extend the analysis of the c=1-limit to the boundary problem. Most importantly, we show that the FZZT branes of Liouville theory give rise to a new 1-parameter family of boundary theories at c=1. These models share many features with the boundary Sine-Gordon theory, in particular they possess an open string spectrum with band-gaps of finite width. We propose explicit formulas for the boundary 2-point function and for the bulk-boundary operator product expansion in the c=1 boundary Liouville model. As a by-product of our analysis we also provide a nice geometric interpretation for ZZ branes and their relation with FZZT branes in the c=1 theory.

37 pages, 1 figure. Minor error corrected, slight change in result (1.6)

References in corpus (1)

• On Solvable Time-Dependent Model and Rolling Closed String Tachyon

Cited by in corpus (17)

• An AdS_3 Dual for Minimal Model CFTs
• Non-compact String Backgrounds and Non-rational CFT
• Notes on Liouville Theory at c<=1
• Limits of minimal models and continuous orbifolds
• On Superstring Disk Amplitudes in a Rolling Tachyon Background
• 4d $S$-duality wall and $SL(2,\mathbb{Z})$ relations
• The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background
• The geometry of the limit of N=2 minimal models
• A common limit of super Liouville theory and minimal models
• N-point functions in rolling tachyon background
• Boundary conditions in Toda theories and minimal models
• Liouville's Imaginary Shadow
• Energy Quantisation in Bulk Bouncing Tachyon
• The limit of N=(2,2) superconformal minimal models
• Electrostatics approach to closed string pair production from a decaying D-brane
• Rolling tachyon in anti-de Sitter space-time
• ZZ Brane Decay in D Dimensions