Supertrace formulae for nonlinearly realized supersymmetry

Abstract We derive the general supertrace formula for a system with N chiral superfields and one nilpotent chiral superfield in global and local supersymmetry. The nilpotent multiplet is realized by taking the scalar-decoupling limit of a chiral superfield breaking supersymmetry spontaneously. As we...

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Main Authors: Divyanshu Murli, Yusuke Yamada
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2018)112
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author Divyanshu Murli
Yusuke Yamada
author_facet Divyanshu Murli
Yusuke Yamada
author_sort Divyanshu Murli
collection DOAJ
description Abstract We derive the general supertrace formula for a system with N chiral superfields and one nilpotent chiral superfield in global and local supersymmetry. The nilpotent multiplet is realized by taking the scalar-decoupling limit of a chiral superfield breaking supersymmetry spontaneously. As we show, however, the modified formula is not simply related to the scalar-decoupling limit of the supertrace in linearly-realized supersymmetry. We also show that the supertrace formula reduces to that of a linearly realized supersymmetric theory with a decoupled sGoldstino if the Goldstino is the fermion in the nilpotent multiplet.
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spelling doaj.art-0a083d6ba6fb47fd84994f2c057b41172022-12-22T00:38:36ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018411410.1007/JHEP04(2018)112Supertrace formulae for nonlinearly realized supersymmetryDivyanshu Murli0Yusuke Yamada1Stanford Institute for Theoretical Physics and Department of Physics, Stanford UniversityStanford Institute for Theoretical Physics and Department of Physics, Stanford UniversityAbstract We derive the general supertrace formula for a system with N chiral superfields and one nilpotent chiral superfield in global and local supersymmetry. The nilpotent multiplet is realized by taking the scalar-decoupling limit of a chiral superfield breaking supersymmetry spontaneously. As we show, however, the modified formula is not simply related to the scalar-decoupling limit of the supertrace in linearly-realized supersymmetry. We also show that the supertrace formula reduces to that of a linearly realized supersymmetric theory with a decoupled sGoldstino if the Goldstino is the fermion in the nilpotent multiplet.http://link.springer.com/article/10.1007/JHEP04(2018)112Supergravity ModelsSupersymmetric Effective TheoriesSupersymmetry Breaking
spellingShingle Divyanshu Murli
Yusuke Yamada
Supertrace formulae for nonlinearly realized supersymmetry
Journal of High Energy Physics
Supergravity Models
Supersymmetric Effective Theories
Supersymmetry Breaking
title Supertrace formulae for nonlinearly realized supersymmetry
title_full Supertrace formulae for nonlinearly realized supersymmetry
title_fullStr Supertrace formulae for nonlinearly realized supersymmetry
title_full_unstemmed Supertrace formulae for nonlinearly realized supersymmetry
title_short Supertrace formulae for nonlinearly realized supersymmetry
title_sort supertrace formulae for nonlinearly realized supersymmetry
topic Supergravity Models
Supersymmetric Effective Theories
Supersymmetry Breaking
url http://link.springer.com/article/10.1007/JHEP04(2018)112
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