Quantum Aspects of Supersymmetric Maxwell Chern-Simons Solitons

TL;DR

This paper investigates quantum properties of supersymmetric Maxwell Chern-Simons vortices, including zero modes, supermultiplet structures, and quantum mass corrections, finding that quantum corrections to vortex mass vanish across different regimes.

Contribution

It provides a detailed analysis of quantum effects such as zero modes, supermultiplet structures, and mass corrections in supersymmetric Maxwell Chern-Simons vortex systems, including cases with different Chern-Simons coefficient values.

Findings

Fermion zero modes lead to vortex degeneracy.

Quantum mass corrections vanish for all Chern-Simons coefficient regimes.

Supermultiplet structures are derived from zero mode analysis.

Abstract

We study the various quantum aspects of the $N=2$ supersymmetric Maxwell Chern-Simons vortex systems. The fermion zero modes around the vortices will give rise the degenerate states of vortices. We analyze the angular momentum of these zero modes and apply the result to get the supermultiplet structures of the vortex. The leading quantum correction to the mass of the vortex coming from the mode fluctuations is also calculated using various methods depending on the value of the coefficient of the Chern-Simons term $\kappa$ to be zero, infinite and finite, separately. The mass correction is shown to vanish for all cases. Fermion numbers of vortices are also discussed.