Boundary conditions in Toda theories and minimal models

Abstract

We show that the disc bulk one-point functions in a sl(n) Toda conformal field theory have a well-defined limit for the central charge c=n-1, and that their limiting values can be obtained from a limit of bulk one-point functions in the W_n minimal models. This comparison leads to a proposal for one-point functions for twisted boundary conditions in Toda theory.

arXiv comment33 pages, 1 figure; v2: Minor corrections; v3: version accepted at JHEP

References in corpus (33)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Structure Constants and Conformal Bootstrap in Liouville Field Theory
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Two and three-point functions in Liouville theory
• An AdS_3 Dual for Minimal Model CFTs
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• Liouville field theory on a pseudosphere
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• Rolling Tachyons from Liouville theory
• Remarks on Liouville theory with boundary
• Correlation functions in conformal Toda field theory I
• Boundary Liouville Field Theory: Boundary Three Point Function
• Correlation functions in conformal Toda field theory II
• From Dynkin diagram symmetries to fixed point structures
• A non-rational CFT with c=1 as a limit of minimal models
• Bulk-Boundary Propagator in Liouville Theory on a Disc
• Boundary states for WZW models
• D-Branes in Coset Models
• On relevant boundary perturbations of unitary minimal models
• Organizing boundary RG flows
• Non-commutative gauge theory of twisted D-branes
• Boundary states in coset conformal field theories
• Minimal model boundary flows and c=1 CFT
• The charges of a twisted brane
• Boundary Liouville theory at c=1
• Twenty-five years of two-dimensional rational conformal field theory
• Large-N limits of 2d CFTs, Quivers and AdS_3 duals
• Limits and Degenerations of Unitary Conformal Field Theories
• Liouville Theory on the Pseudosphere: Bulk-Boundary Structure Constant
• A common limit of super Liouville theory and minimal models
• Conformal Toda theory with a boundary

Cited by in corpus (10)

• Limits of minimal models and continuous orbifolds
• Smoothed Transitions in Higher Spin AdS Gravity
• The Continuous Orbifold of N=2 Minimal Model Holography
• AGT/Z${}_2$
• The geometry of the limit of N=2 minimal models
• The limit of N=(2,2) superconformal minimal models
• Defects, Super-Poincaré line bundle and Fermionic T-duality
• Limit theories and continuous orbifolds
• Crossing invariant correlation functions at $c=1$ from isomonodromic $\tau$ functions
• The large level limit of Kazama-Suzuki models