Solitons and excitations in the duality-based matrix model

TL;DR

This paper explores a duality-based generalization of the hermitean matrix model, revealing soliton solutions, analyzing quantum fluctuations, and constructing ground state wave functionals and Green functions.

Contribution

It introduces a duality-based matrix model with two collective fields, enabling the construction of topological solitons and analysis of quantum excitations.

Findings

Existence of BPS solitons in the model

Spectrum of quantum fluctuations around uniform solutions

Explicit ground state wave functional and Green function

Abstract

We analyse a specific, duality-based generalization of the hermitean matrix model. The existence of two collective fields enables us to describe specific excitations of the hermitean matrix model. By using these two fields, we construct topologically non-trivial solutions (BPS solitons) of the model. We find the low-energy spectrum of quantum fluctuations around the uniform solution. Furthermore, we construct the wave functional of the ground state and obtain the corresponding Green function.