Solitons in 2+1 Dimensional Non-Commutative Maxwell Chern-Simons Higgs Theories

TL;DR

This paper discovers soliton solutions in 2+1 dimensional non-commutative Maxwell Chern-Simons Higgs theories, connecting to quantum Hall effects and string theory contexts.

Contribution

It introduces new soliton solutions in non-commutative Maxwell Chern-Simons Higgs theories and explores their limits and potential physical relevance.

Findings

Soliton solutions found in non-commutative Maxwell Chern-Simons Higgs theories.

Solutions reduce to known Maxwell Higgs solutions as Chern-Simons coefficient approaches zero.

Potential applications in fractional quantum Hall effect and string theory scenarios.

Abstract

We find soliton solutions in the 2+1 dimensional non-commutative Maxwell Chern-Simons Higgs theories. In the limit of the Chern-Simons coefficient going to zero, these solutions go over to the previously found solutions in the non-commutative Maxwell Higgs theories. The new solutions may have relevance in the theory of the fractional quantum Hall effect and possibly in string vacua corresponding to open strings terminating on D2 branes in the presence of D0 branes.