Low energy particle physics and cosmology of nonlinear supersymmetric general relativity

TL;DR

This paper explores the connection between nonlinear supersymmetric general relativity and low-energy particle physics and cosmology, revealing how different vacuum states relate to spontaneous symmetry breaking and mass origin.

Contribution

It demonstrates the physical meaning of NLSUSY GR in flat space by analyzing vacuum structures of N=2 LSUSY invariant QED, linking cosmology and particle physics.

Findings

Two distinct vacuum configurations describe different spontaneous symmetry breaking scenarios.

One vacuum breaks both U(1) symmetry and SUSY, the other breaks SUSY alone.

Insights into the origin of mass and the relation between cosmology and low-energy physics.

Abstract

We show a low energy physical meaning of nonlinear supersymmetric general relativity (NLSUSY GR) in asymptotic Riemann-flat space-time by studying the vacuum structure of N = 2 linear supersymmetry (LSUSY) invariant QED, which is equivalent to N = 2 NLSUSY model, in two dimensional space-time. Two different vacuum field configurations of SO(3,1) isometry describe the two different physical vacua, i.e. one breaks spontaneously both U(1) and SUSY and the other breaks spontaneously SUSY alone, where the latter elucidates the mysterious relations between the cosmology and the (low energy) particle physics and gives a new insight into the origin of mass.