Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling

TL;DR

This paper derives exact BPS solutions for domain walls in 5D SUSY QED at finite coupling, revealing massive vector fields localized on walls and a stronger inter-wall force compared to infinite coupling, challenging previous expansion methods.

Contribution

It provides the first exact finite coupling solutions for domain walls in 5D SUSY QED, including effective Lagrangians and force calculations.

Findings

Vector fields are massive and localized on the wall.

Inter-wall force is significantly stronger at finite coupling.

Inverse coupling expansion does not converge to finite coupling results.

Abstract

A series of exact BPS solutions are found for single and double domain walls in N=2 supersymmetric (SUSY) QED for finite gauge coupling constants. Vector fields are found to be massive, although it is localized on the wall. Massless modes can be assembled into a chiral scalar multiplet of the preserved N=1 SUSY, after an appropriate gauge choice. The low-energy effective Lagrangian for the massless fields is obtained for the finite gauge coupling. The inter-wall force is found to be much stronger than the known infinite coupling case. The previously proposed expansion in inverse powers of the gauge coupling has pathological oscillations, and does not converge to the correct finite coupling result.