A non-rational CFT with c=1 as a limit of minimal models

Abstract

We investigate the limit of minimal model conformal field theories where the central charge approaches one. We conjecture that this limit is described by a non-rational CFT of central charge one. The limiting theory is different from the free boson but bears some resemblance to Liouville theory. Explicit expressions for the three point functions of bulk fields are presented, as well as a set of conformal boundary states. We provide analytic and numerical arguments in support of the claim that this data forms a consistent CFT.

latex2e, 37 pages, 4 figures

Cited by in corpus (54)

• An AdS_3 Dual for Minimal Model CFTs
• Timelike Boundary Liouville Theory
• Entanglement Scrambling in 2d Conformal Field Theory
• Rolling Tachyons from Liouville theory
• Partition Functions of Holographic Minimal Models
• Superstrings on AdS3 at k=1
• Virasoro conformal blocks in closed form
• Liouville theory with a central charge less than one
• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
• Entanglement in non-unitary quantum critical spin chains
• Anyonic Chains, Topological Defects, and Conformal Field Theory
• The Virasoro Minimal String
• Three-point functions in c <= 1 Liouville theory and conformal loop ensembles
• Non-compact String Backgrounds and Non-rational CFT
• Classical geometry from the quantum Liouville theory
• Painlevé VI connection problem and monodromy of c=1 conformal blocks
• The phase transitions between $Z_n\times Z_n$ bosonic topological phases in 1+1 D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
• Conformal field theory and the web of quantum chaos diagnostics
• Notes on Liouville Theory at c<=1
• Recursion representation of the Neveu-Schwarz superconformal block
• Limits of minimal models and continuous orbifolds
• Boundary Liouville theory at c=1
• Smoothed Transitions in Higher Spin AdS Gravity
• Quantum Gravity from Timelike Liouville theory
• Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks
• Limits and Degenerations of Unitary Conformal Field Theories
• Elliptic recurrence representation of the N=1 superconformal blocks in the Ramond sector
• Logarithmic limits of minimal models
• The Continuous Orbifold of N=2 Minimal Model Holography
• Discreteness and Integrality in Conformal Field Theory
• The Endless Beta Integrals
• A note on entanglement entropy for topological interfaces in RCFTs
• The geometry of the limit of N=2 minimal models
• Integrable aspects of the scaling q-state Potts models II: finite-size effects
• The complex Liouville string: the matrix integral
• On 2d CFTs that interpolate between minimal models
• A common limit of super Liouville theory and minimal models
• Lax matrix solution of c=1 Conformal Field Theory
• Boundary conditions in Toda theories and minimal models
• Double Trace Interfaces
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• Liouville's Imaginary Shadow
• The limit of N=(2,2) superconformal minimal models
• The non-rational limit of D-series minimal models
• Energy Quantisation in Bulk Bouncing Tachyon
• c=1 from c<1: Bulk and boundary correlators
• Recurrence relations for toric N=1 superconformal blocks
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• Virasoro blocks at large exchange dimension
• Comments on the two-point string amplitudes
• Rolling tachyon in anti-de Sitter space-time
• On the Virasoro fusion kernel at $c=25$
• Crossing invariant correlation functions at $c=1$ from isomonodromic $\tau$ functions
• D-branes (or not) in the non-Abelian T-dual of the SU(2) WZW model