On vacuum structures of N = 2 LSUSY QED equivalent to N = 2 NLSUSY model

TL;DR

This paper investigates the vacuum structures of N=2 LSUSY QED in two dimensions, revealing different isometries and vacua that break symmetries in distinct ways, enhancing understanding of supersymmetric models.

Contribution

It explicitly analyzes the vacuum configurations of N=2 LSUSY QED equivalent to N=2 NLSUSY in two dimensions, identifying different isometries and symmetry-breaking patterns.

Findings

Two isometry groups SO(1,3) and SO(3,1) appear in vacuum configurations.

Two types of vacua: one breaks both U(1) and SUSY, the other breaks only SUSY.

Different parameter regions correspond to distinct vacuum structures.

Abstract

The vacuum structure of N = 2 linear supersymmetry (LSUSY) invariant QED, which is equivalent to N = 2 nonlinear supersymmetry (NLSUSY) model, is studied explicitly in two dimensional space-time (d = 2). Two different isometries SO(1,3) and SO(3,1) appear for the vacuum field configuration corresponding to the various parameter regions. Two different 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.