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The N = 1 supersymmetric bootstrap and Lie algebras

Evangelos Mavrikis, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B484", Issue: 3, Pages: 631 - 652

Swansea University Author: Timothy Hollowood Orcid Logo

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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 t...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1996
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28573
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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
College: Faculty of Science and Engineering
Issue: 3
Start Page: 631
End Page: 652