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Supersymmetric $\sigma$-models on toric varieties: a test case

In this letter we study supersymmetric sigma models on toric varieties. These manifolds are generalizations of CP^n manifolds. We examine here sigma models, viewed as gauged linear sigma models, on one of the simplest such manifold, the blow-up of P^2_(2,1,1), and determine their properties using th...

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Autor principal: Bourdeau, Michele
Lenguaje:eng
Publicado: 1995
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(96)00082-X
http://cds.cern.ch/record/293314
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author Bourdeau, Michele
author_facet Bourdeau, Michele
author_sort Bourdeau, Michele
collection CERN
description In this letter we study supersymmetric sigma models on toric varieties. These manifolds are generalizations of CP^n manifolds. We examine here sigma models, viewed as gauged linear sigma models, on one of the simplest such manifold, the blow-up of P^2_(2,1,1), and determine their properties using the techniques of topological- antitopological fusion. We find that the model contains solitons which become massless at the singular point of the theory where a gauge symmetry remains unbroken.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
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spelling cern-2933142023-03-14T18:19:09Zdoi:10.1016/0550-3213(96)00082-Xhttp://cds.cern.ch/record/293314engBourdeau, MicheleSupersymmetric $\sigma$-models on toric varieties: a test caseParticle Physics - TheoryIn this letter we study supersymmetric sigma models on toric varieties. These manifolds are generalizations of CP^n manifolds. We examine here sigma models, viewed as gauged linear sigma models, on one of the simplest such manifold, the blow-up of P^2_(2,1,1), and determine their properties using the techniques of topological- antitopological fusion. We find that the model contains solitons which become massless at the singular point of the theory where a gauge symmetry remains unbroken.In this letter we study supersymmetric sigma models on toric varieties. These manifolds are generalizations of CP~n manifolds. We examine here sigma models, viewed as gauged linear sigma models, on one of the simplest such manifold, the blow-up of P~2_(2,1,1), and determine their properties using the techniques of topological- antitopological fusion. We find that the model contains solitons which become massless at the singular point of the theory where a gauge symmetry remains unbroken.In this work we study supersymmetric σ-models on toric varieties. These manifolds are generalizations of P n manifolds. We examine here σ-models, viewed as gauged linear σ-models, on one of the simplest such manifold, the blow-up of P (2,1,1) 2 , and determine their properties using the techniques of topological-antitopological fusion. We find that the model contains solitons which become massless at the singular point of the theory where a gauge symmetry remains unbroken.hep-th/9512149OUTP-95-34-PCERN-TH-95-338CERN-TH-95-338OUTP-95-34-Poai:cds.cern.ch:2933141995-12-19
spellingShingle Particle Physics - Theory
Bourdeau, Michele
Supersymmetric $\sigma$-models on toric varieties: a test case
title Supersymmetric $\sigma$-models on toric varieties: a test case
title_full Supersymmetric $\sigma$-models on toric varieties: a test case
title_fullStr Supersymmetric $\sigma$-models on toric varieties: a test case
title_full_unstemmed Supersymmetric $\sigma$-models on toric varieties: a test case
title_short Supersymmetric $\sigma$-models on toric varieties: a test case
title_sort supersymmetric $\sigma$-models on toric varieties: a test case
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(96)00082-X
http://cds.cern.ch/record/293314
work_keys_str_mv AT bourdeaumichele supersymmetricsigmamodelsontoricvarietiesatestcase