Space-time Vector Supersymmetry and Massive Spinning Particle
Roberto Casalbuoni (Department of Physics, University of Florence,, INFN-Florence, Galileo Galilei Institute, Florence, Italy), Joaquim Gomis, (PH-TH Division, CERN, Geneva, Switzerland, Departament d'Estructura i, Constituents de la Mat\`eria, Institut de Ciencies del Cosmos
TL;DR
This paper develops a model for a relativistic spinning particle using a space-time odd vector extension of the Poincaré group, revealing gauge supersymmetry and BPS solutions, and results in two decoupled Dirac equations upon quantization.
Contribution
It introduces a novel action for spinning particles based on a space-time vector supersymmetry extension, with gauge invariance and BPS solutions, and derives related Dirac equations.
Findings
Model exhibits gauge world-line supersymmetry at specific parameters.
Presence of BPS solutions preserving 1/5 of supersymmetries.
Quantization yields two decoupled 4d Dirac equations.
Abstract
We construct the action of a relativistic spinning particle from a non-linear realization of a space-time odd vector extension of the Poincar\'e group. For particular values of the parameters appearing in the lagrangian the model has a gauge world-line supersymmetry.{As a consequence of this local symmetry there are BPS solutions in the model preserving 1/5 of the supersymmetries.} A supersymmetric invariant quantization produces two decoupled 4d Dirac equations.
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