Thermodynamics and Form Factors of Supersymmetric Integrable Field Theories

Abstract

We study on-shell and off-shell properties of the supersymmetric sinh-Gordon and perturbed SUSY Yang-Lee models using the thermodynamic Bethe ansatz and form factors. Identifying the supersymmetric models with the Eight Vertex Free Fermion Model, we derive inversion relation for inhomogeneous transfer matrix and TBA equations and get correct UV results. We obtain two-point form factors of the trace of energy-momentum tensor using the Watson equations and their SUSY transformations. As an application, we compute the UV central charge using these form factors and spectral representation of the $C$-theorem.

(39 Pages)

References in corpus (5)

• Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
• Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons
• Scattering and Thermodynamics of Integrable N=2 Theories
• N=2 Supersymmetry, Painleve III and Exact Scaling Functions in 2D Polymers
• From Form Factors to Correlation Functions: The Ising Model

Cited by in corpus (31)

• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• Boundary Flows in general Coset Theories
• The boundary supersymmetric sine-Gordon model revisited
• Mapping between the Sinh-Gordon and Ising Models
• Bethe Ansatz solution of the open XX spin chain with nondiagonal boundary terms
• Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories
• Finite size effects and the supersymmetric sine-Gordon models
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• U(N) Matrix Difference Equations and a Nested Bethe Ansatz
• Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models
• Ginzburg-Landau Description and Emergent Supersymmetry of the $(3,8)$ Minimal Model
• Hidden Relation between Reflection Amplitudes and Thermodynamic Bethe Ansatz
• Reflection Matrices for Integrable $N=1$ Supersymmetric Theories
• The scaling supersymmetric Yang-Lee model with boundary
• Exact solution of the supersymmetric sinh-Gordon model with boundary
• Is there supersymmetric Lee-Yang fixed point in three dimensions?
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Exact Matrix Elements in Supersymmetric Theories
• Non Relativistic Limit of Integrable QFT with fermionic excitations
• Boundary S matrices with N=2 supersymmetry
• Quench Dynamics in Two-Dimensional Integrable SUSY Models
• Tricritical Ising Model with a Boundary
• Yang-Baxter equation for the asymmetric eight-vertex model
• Boundary renormalisation group flows of the supersymmetric Lee-Yang model and its extensions
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Supersymmetric integrable scattering theories with unstable particles
• Form Factors in Off--Critical Superconformal Models
• Geometry of Massless Scattering in Integrable Superstring
• Boundary effects on the supersymmetric sine-Gordon model through light-cone lattice approach
• A study of integrable form factors in massless relativistic $Ad{S}_2$
• Supersymmetric Reflection Matrices