Probing integrable perturbations of conformal theories using singular vectors II: N=1 superconformal theories

Abstract

In this work we pursue the singular-vector analysis of the integrable perturbations of conformal theories that was initiated in hep-th/9603088. Here we consider the detailed study of the N=1 superconformal theory and show that all integrable perturbations can be identified from a simple singular-vector argument. We identify these perturbations as theories based on affine Lie superalgebras and show that the results we obtain relating two perturbations can be understood by the extension of affine Toda duality to these theories with fermions. We also discuss how this duality is broken in specific cases.

30 pages, Latex2e (rotating.sty,amssymb.sty,a4wide.sty)

References in corpus (7)

• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• Nonlocal conservation laws in N=1,2 Supersymetric KdV equation
• Critical RSOS Models in External Fields
• Field Identification in Non-Unitary Diagonal Cosets
• Singular Vectors and Conservation Laws of Quantum KdV type equations
• Integrable Supersymmetry Breaking Perturbations of N=1,2 Superconformal Minimal Models
• Probing integrable perturbations of conformal theories using singular vectors

Cited by in corpus (3)

• SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
• The continuum limit of $a_{N-1}^{(2)}$ spin chains
• Highest weight representations of the N=1 Ramond algebra