English

The N=1 supersymmetric bootstrap and Lie algebas

High Energy Physics - Theory 2009-10-30 v1

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(2n2n) sigma model and sine-Gordon model can be shown to close under the bootstrap.

Keywords

Cite

@article{arxiv.hep-th/9606116,
  title  = {The N=1 supersymmetric bootstrap and Lie algebas},
  author = {Timothy J. Hollowood and Evangelos Mavrikis},
  journal= {arXiv preprint arXiv:hep-th/9606116},
  year   = {2009}
}

Comments

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