Chiral Splitting at Work

TL;DR

This paper presents explicit solutions to second-order equations of motion on group manifolds in chiral theories, focusing on semi-simple Lie groups, enhancing understanding of their mathematical structure.

Contribution

It provides explicit solutions for second-order equations of motion on group manifolds within chiral theories, specifically for semi-simple Lie groups.

Findings

Explicit solutions for equations on semi-simple Lie groups

Enhanced understanding of chiral theory equations

Mathematical framework for second-order equations

Abstract

Second-order equations of motion on a group manifold that appear in a large class of so-called chiral theories are presented. These equations are presented and explicitely solved for cases of semi-simple, finite-dimensional Lie groups. With three figures avaliable from the authors upon request.