Exact Matrix Elements in Supersymmetric Theories

Abstract

The lowest representatives of the Form Factors relative to the trace operators of N=1 Super Sinh-Gordon Model are exactly calculated. The novelty of their determination consists in solving a coupled set of unitarity and crossing equations. Analytic continuations of the Form Factors as functions of the coupling constant allows the study of interesting models in a uniform way, among these the latest model of the Roaming Series and the minimal supersymmetric models as investigated by Schoutens. A fermionic version of the $c$-theorem is also proved and the corresponding sum-rule derived.

Latex file 48 pags, 6 figures, updated list of references, corrected some typos, version to appear in Nucl. Phys. B

References in corpus (5)

• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• Universal amplitude ratios in the two-dimensional $q$-state Potts model and percolation from quantum field theory
• Universal amplitude ratios in the two-dimensional Ising model
• The determinant representation for quantum correlation functions of the sinh-Gordon model
• Two-point correlation functions in perturbed minimal models

Cited by in corpus (8)

• Kink Confinement and Supersymmetry
• Exact solution of the supersymmetric sinh-Gordon model with boundary
• Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point
• Quench Dynamics in Two-Dimensional Integrable SUSY Models
• A study of integrable form factors in massless relativistic AdS_3
• Supersymmetric integrable scattering theories with unstable particles
• Form Factors in Off--Critical Superconformal Models
• A study of integrable form factors in massless relativistic $Ad{S}_2$