New supersymmetry algebra on gravitational interaction of Nambu-Goldstone fermion
Kazunari Shima, Motomu Tsuda
TL;DR
This paper investigates the spacetime symmetries of a supergravity model involving Nambu-Goldstone fermions, revealing a closed algebra of nonlinear supersymmetry transformations and generalized local Lorentz transformations.
Contribution
It introduces a new supersymmetry algebra for gravitational interactions of Nambu-Goldstone fermions, expanding understanding of their symmetry structure.
Findings
NL SUSY transformations form a closed algebra
The algebra reveals the N-G fermion nature of NL SUSY
A generalized local Lorentz transformation is also established
Abstract
The spacetime symmetries of SGM action proposed as the gravitational coupling of N-G fermions are investigated. The commutators of new nonlinear supersymmetry (NL SUSY) transformations form a closed algebra, which reveals N-G fermion (NL SUSY) nature and a generalized general coordinate transformation. A generalized local Lorentz transformation, which forms a closed algebra, is also introduced.
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