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arXiv · 1803.01080

Supertrace formulae for nonlinearly realized supersymmetry

Divyanshu Murli·Yusuke Yamada
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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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Divyanshu Murli, Yusuke Yamada. 2018-03-03. Supertrace formulae for nonlinearly realized supersymmetry. https://doi.org/10.1007/jhep04(2018)112

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