Novel 3D supersymmetric massive Yang-Mills theory

Nihat Sadik Deger,Jan Rosseel

doi:10.1103/physrevd.104.l081701

Nihat Sadik Deger, Jan Rosseel

Open Access

https://doi.org/10.1103/physrevd.104.l081701

Copy DOI

Abstract

We construct three-dimensional, $\mathcal{N}=1$ off-shell supersymmetric massive Yang-Mills (YM) theory whose YM equation is ``third-way'' consistent. This means that the field equations of this model do not come from variation of a local action without additional fields, yet the gauge-covariant divergence of the YM equation still vanishes on shell. To achieve this, we modify the massive Majorana spinor equation so that its supersymmetry variation gives a modified YM equation whose bosonic part coincides with the third-way consistent pure massive YM model.

Highlights

In the absence of couplings to other fields, tensors that constitute equations of motion of massless spin-1 and spin-2 fields are conserved, when they stem from an action
We construct three-dimensional, N 1⁄4 1 off-shell supersymmetric massive Yang-Mills (YM) theory whose YM equation is “third-way” consistent. This means that the field equations of this model do not come from variation of a local action without additional fields, yet the gauge-covariant divergence of the YM equation still vanishes on shell
Its equations of motion cannot be derived from a local action, with the field content considered in this paper

Summary

INTRODUCTION

In the absence of couplings to other fields, tensors that constitute equations of motion of massless spin-1 and spin-2 fields are conserved (i.e., have vanishing covariant divergence), when they stem from an action. This ensures that they can be consistently coupled to conserved charge/ energy currents. The modified field equation still makes sense, since the covariant divergence of the additional term vanishes if one uses the field equation again Other such 3D gravity models were obtained in [3,4] and third-way consistent 3D massive Yang-Mills (YM) theory [5], and interacting p-form theories in general dimensions [6] have been found as well. We will supersymmetrize the model of [5], by constructing a third-way consistent deformation of the equations of motion of supersymmetric TMYM, such that the resulting bosonic and fermionic equations are mapped

NIHAT SADIK DEGER and JAN ROSSEEL

DμJ μI þ

FJνμ þ

CONCLUSION