Scattering and Thermodynamics of Integrable N=2 Theories

Abstract

We study $N$=2 supersymmetric integrable theories with spontaneously-broken \Zn\ symmetry. They have exact soliton masses given by the affine $SU(n)$ Toda masses and fractional fermion numbers given by multiples of $1/n$. The basic such $N$=2 integrable theory is the $A_n$-type $N$=2 minimal model perturbed by the most relevant operator. The soliton content and exact S-matrices are obtained using the Landau-Ginzburg description. We study the thermodynamics of these theories and calculate the ground-state energies exactly, verifying that they have the correct conformal limits. We conjecture that the soliton content and S-matrices in other integrable \Zn\ $N$=2 theories are given by the tensor product of the above basic $N$=2 \Zn\ scattering theory with various $N$=0 theories. In particular, we consider integrable perturbations of $N$=2 Kazama-Suzuki models described by generalized Chebyshev potentials, $C{P}^{n-1}$ sigma models, and $N$=2 sine-Gordon and its affine Toda generalizations.

31 pages

References in corpus (5)

• Quantum Solitons in Affine Toda Field Theories
• Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons
• Exact Results for Supersymmetric Sigma Models
• N=2 Supersymmetry, Painleve III and Exact Scaling Functions in 2D Polymers
• Quantum Conserved Charges and S-matrices in N=2 Supersymmetric Sine-Gordon Theory

Cited by in corpus (63)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• A New Supersymmetric Index
• Duality of the Fermionic 2d Black Hole and N=2 Liouville Theory as Mirror Symmetry
• Branes and N=2 Theories in Two Dimensions
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Geometric Engineering of N=1 Quantum Field Theories
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Supersymmetry in Boundary Integrable Models
• Localization of Non-Abelian Gauge Fields on Domain Walls at Weak Coupling (D-brane Prototypes)
• Strings on pp-waves and massive two dimensional field theories
• Fusion rules in conformal field theory
• Marginal Stability and the Metamorphosis of BPS States
• Sine-Gordon =/= Massive Thirring, and Related Heresies
• Mirror symmetry in two steps: A-I-B
• Ramond Sector Characters and N=2 Landau-Ginzburg Models
• Thermodynamics and Form Factors of Supersymmetric Integrable Field Theories
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• A holomorphic anomaly in the elliptic genus
• Sigma models as perturbed conformal field theories
• Integrable quantum field theories with OSP(m/2n) symmetries
• S-matrices for Perturbed N=2 Superconformal Field Theory from quantum groups
• New families of flows between two-dimensional conformal field theories
• Massive and massless phases in self-dual $Z_N$ spin models: some exact results from the thermodynamic Bethe ansatz
• Bethe Ansatz solution of the open XX spin chain with nondiagonal boundary terms
• Thermodynamic Bethe Ansatz for N = 1 Supersymmetric Theories
• The Exact Mass-Gap of the Supersymmetric CP^{n-1} Sigam Model
• Kinks in Finite Volume
• BPS kinks in the Gross-Neveu model
• Finite size effects and the supersymmetric sine-Gordon models
• Thermodynamics of the Complex su(3) Toda Theory
• Exact N=2 Landau-Ginzburg Flows
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• Reflection Matrices for Integrable $N=1$ Supersymmetric Theories
• Boundary Rings and N=2 Coset Models
• The Hidden Quantum Group of the 8-vertex Free Fermion Model: q-Clifford Algebras
• Integrable Field Theories with an Interacting Massless Sector
• String duality, automorphic forms, and generalized Kac-Moody algebras
• Exact solution of the supersymmetric sinh-Gordon model with boundary
• Graph Rings and Integrable Perturbations of $N=2$ Superconformal Theories
• Spin-Anisotropy Commensurable Chains: Quantum Group Symmetries and N=2 SUSY
• Minimal surfaces in AdS space and Integrable systems
• ADE Singularities and Coset Models
• Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and sigma models
• Off-Critical Lattice Analogues of $N=2$ Supersymmetric Quantum Integrable Models
• Deformations of $W_{A,D,E}$ SCFTs
• Boundary S matrices with N=2 supersymmetry
• Superconformal R-charges and dyon multiplicities in N=2 gauge theories
• Grassmannian Sigma Models and Topological-Antitopological Fusion
• Central charges without finite-size effects
• A study of integrable form factors in massless relativistic AdS_3
• Bethe ansatz solvability and supersymmetry of the $M_2$ model of single fermions and pairs
• Mirror Symmetry And Quantum Geometry
• Squashed toric sigma models and mock modular forms
• On the integrability of N=2 supersymmetric massive theories
• Quantum Clifford-Hopf Algebras for Even Dimensions
• Perturbative Quantum Corrections to the Supersymmetric CP^1 Kink with Twisted Mass
• 2D-4D Correspondence: Towers of Kinks versus Towers of Monopoles in N=2 Theories
• On the integrability of N=2 Landau-Ginzburg models: A graph generalization of the Yang-Baxter equation
• Strings on type IIB pp-wave backgrounds with interacting massive theories on the worldsheet
• Landau-Ginzburg Lagrangians of minimal $W$-models with an integrable perturbation
• BPS and non-BPS states in a supersymmetric Landau-Ginzburg theory
• Topological $\sigma$-Models and Large-$N$ Matrix Integral
• Bethe/Gauge correspodence: a short review on an aspect of the integrability nature of supersymmetric gauge theories