Supertrace formulae for nonlinearly realized supersymmetry

Divyanshu Murli, Yusuke Yamada*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number112
JournalJournal of High Energy Physics
Issue number4
Publication statusPublished - 2018 Apr 1
Externally publishedYes


  • Supergravity Models
  • Supersymmetric Effective Theories
  • Supersymmetry Breaking

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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