The N=1 supersymmetric bootstrap and Lie algebas

Abstract

The bootstrap programme for finding exact S-matrices of integrable quantum field theories with N=1 supersymmetry is investigated. New solutions are found which have the same fusing data as bosonic theories related to the classical affine Lie algebras. When the states correspond to a spinor spot of the Dynkin diagram they are kinks which carry a non-zero topological charge. Using these results, the S-matrices of the supersymmetric O($2n$) sigma model and sine-Gordon model can be shown to close under the bootstrap.

21 pages, 3 figures (uses psfig.tex), plain tex with macro included

References in corpus (3)

• Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
• On a generalised bootstrap principle
• The Exact Mass-Gap of the Supersymmetric O(N) Sigma Model

Cited by in corpus (16)

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• The Exact S-Matrix for an osp(2|2) Disordered System
• Resurgence in $\eta$-deformed Principal Chiral Models
• SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
• Spectrum of boundary states in N=1 SUSY sine-Gordon theory
• Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models
• Tunneling in quantum wires I: Exact solution of the spin isotropic case
• Trigonometric S-Matrices, Affine Toda Solitons and Supersymmetry
• Exact Scattering in the SU(n) Supersymmetric Principal Chiral Model
• Exact Matrix Elements in Supersymmetric Theories
• Non Relativistic Limit of Integrable QFT with fermionic excitations
• Supersymmetric integrable scattering theories with unstable particles
• Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry
• Form Factors in Off--Critical Superconformal Models
• N=1 Supersymmetric Boundary Bootstrap
• Supersymmetric Reflection Matrices