Thermodynamic Bethe Ansatz for G_k x G_l / G_{k+l} Coset Models Perturbed by Their ϕ_{1,1,Adj} Operator

Abstract

We propose a Thermodynamic Bethe Ansatz (TBA) for G_k x G_l / G_{k+l} conformal coset models (G any simply-laced Lie algebra) perturbed by their operator ϕ_{1,1,Adj}. An interesting adjacency structure appears and can be depicted in a sort of ``product'' of Dynkin diagrams of G and A_{k+l-1}. UV and IR limits are computed and reproduce the expected values for the central charges. For k->\infty, l fixed we obtain the TBA of the G_l WZW model perturbed by J_a\bar{J}_a, and for k,l->\infty, k-l fixed, that of Principal Chiral model with WZ term at level k-l.

13pp

Cited by in corpus (35)

• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• T-systems and Y-systems in integrable systems
• Fermionic Sum Representations for Conformal Field Theory Characters
• Domain Walls for Two-Dimensional Renormalization Group Flows
• Polylogarithm Identities in a Conformal Field Theory in Three Dimensions
• Integrable flows between exact CFTs
• Mass scales and crossover phenomena in the Homogeneous Sine-Gordon Models
• The ultraviolet Behaviour of Integrable Quantum Field Theories, Affine Toda Field Theory
• New families of flows between two-dimensional conformal field theories
• Integrable deformations of the $G_{k_1}\times G_{k_2}/G_{k_1+k_2}$ coset CFTs
• Massive and massless phases in self-dual $Z_N$ spin models: some exact results from the thermodynamic Bethe ansatz
• Generalising the staircase models
• ADE functional dilogarithm identities and integrable models
• From A_m Trigonometric S-Matrices to the Thermodynamic Bethe Ansatz
• Thermodynamic Bethe Ansatz with Haldane Statistics
• RG domain wall for the N=1 minimal superconformal models
• New functional dilogarithm identities and sine-Gordon Y-systems
• The exact $C$-function in integrable $\lambda$-deformed theories
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Exclusion statistics in conformal field theory and the UCPF for WZW models
• On the classification of UV completions of integrable $T\bar{T}$ deformations of CFT
• Massless flows between minimal W models
• Exact Scattering in the SU(n) Supersymmetric Principal Chiral Model
• From S-matrices to the Thermodynamic Bethe Ansatz
• A New Family of Diagonal Ade-Related Scattering Theories
• Thermodynamic Bethe Ansatz for the subleading magnetic perturbation of the tricritical Ising model
• Superspace Parafermions
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• RG Domain Wall for the General su(2) Coset Models
• Thermodynamic Bethe ansatz for the AII sigma-models
• A T-duality interpretation of the relationship between massive and massless magnonic TBA systems
• RG flow between $W_3$ minimal models by perturbation and domain wall approaches
• On the Integrable Structure of the SU(2) Wess-Zumino-Novikov-Witten Model
• Dilogarithm ladders from Wilson loops
• Monte--Carlo Thermodynamic Bethe Ansatz