Quantum corrections to mass and central charge of supersymmetric solitons

TL;DR

This paper reviews recent advances in calculating quantum corrections to the mass and central charge of supersymmetric solitons, focusing on local density methods and dimensional regularization in various dimensions.

Contribution

It introduces and discusses local density approaches and extends dimensional regularization techniques to supersymmetric solitons in different spacetime dimensions.

Findings

Local density methods provide detailed quantum correction calculations.

Dimensional regularization successfully applied to supersymmetric kink and vortices.

Enhanced understanding of quantum effects on soliton properties.

Abstract

We review some recent developments in the subject of quantum corrections to soliton mass and central charge. We consider in particular approaches which use local densities for these corrections, as first discussed by Hidenaga Yamagishi. We then consider dimensional regularization of the supersymmetric kink in 1+1 dimensions and an extension of this method to a 2+1-dimensional gauge theory with supersymmetric abelian Higgs vortices as the solitons.