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BPS and non-BPS states in a supersymmetric Landau-Ginzburg theory

2002/08/09 by Alin Tirziu, Paul Fendley
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/01/053

published as JHEP 0301 (2003) 053 · 27 pages, 12 figures

arxiv created 2002/08/09 · openalex publication_date 2003/01/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We analyze the spectrum of the N=(2,2) supersymmetric Landau-Ginzburg theory in two dimensions with superpotential W=Xn+2-lambda X2. We find the full BPS spectrum of this theory by exploiting the direct connection between the UV and IR limits of the theory. The computation utilizes results from the Picard-Lefschetz theory of singularities and its extension to boundary singularities. The additional fact that this theory is integrable requires that the BPS states do not close under scattering. This observation fixes the masses of non-BPS states as well.

Citations