Lagrangian reductions and integrable systems in condensed matter

TL;DR

This paper introduces a general method for Lagrangian and Hamiltonian reduction by symmetries, demonstrating the complete integrability of certain one-dimensional texture equations relevant to condensed matter and astrophysics.

Contribution

It presents a unified approach to reduction techniques and proves integrability of specific equations in condensed matter physics.

Findings

Complete integrability of one-dimensional texture equations

Application of reduction methods to chiral gauge models

Relevance to liquid Helium and neutron star physics

Abstract

We consider a general approach for the process of Lagrangian and Hamiltonian reduction by symmetries in chiral gauge models. This approach is used to show the complete integrability of several one dimensional texture equations arising in liquid Helium phases and neutron stars.