Massless Localized Vector Field on a Wall in D=5 SQED with Tensor Multiplets

TL;DR

This paper constructs a massless localized vector field in a 5D supersymmetric QED model with tensor multiplets, demonstrating a topologically derived gauge coupling, exact massive mode solutions, and the preservation of Coulomb law on a domain wall.

Contribution

It presents a novel half BPS solution in 5D SUSY QED with tensor multiplets that localizes a massless vector field and explicitly solves for massive modes, revealing a mass gap.

Findings

Massless localized vector field achieved on a 4D wall.

Exact solutions for all bosonic massive modes.

Confirmation of Coulomb law for sources on the wall.

Abstract

Massless localized vector field is obtained in five-dimensional supersymmetric (SUSY) QED coupled to tensor multiplets as a half BPS solution. The four-dimensional gauge coupling is obtained as a topological charge. We also find all the (bosonic) massive modes exactly for a particular value of a parameter, demonstrating explicitly the existence of a mass gap. The four-dimensional Coulomb law is shown to hold for sources placed on the wall.