2018/03/03 by Divyanshu Murli, Yusuke Yamada
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Decoupling (probability) #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Multiplet #Nilpotent #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Spectral line #Superfield #Supersymmetry #Supersymmetry breaking #hep-th
paper · pdf · doi:10.1007/jhep04(2018)112
14 pages
arxiv created 2018/03/03 · openalex publication_date 2018/04/01 · arxiv updated 2018/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A bstract 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.