Pseudoduality Between Symmetric Space Sigma Models

TL;DR

This paper explores pseudoduality transformations in symmetric space sigma models, deriving an infinite set of equations and conserved currents, and analyzing their effects on curvature and renormalization group functions.

Contribution

It introduces a novel approach by converting pseudoduality equations to Lie algebra form, revealing infinite equations and conserved currents, and examining their impact on geometric and quantum properties.

Findings

Derived infinite pseudoduality equations.

Identified infinite conserved currents.

Analyzed mixing effects on curvature and beta functions.

Abstract

We study the pseudoduality transformation on the symmetric space sigma models. We switch the Lie group valued pseudoduality equations to Lie algebra valued ones, which leads to an infinite number of pseudoduality equations. We obtain an infinite number of conserved currents on the tangent bundle of the pseudodual manifold. We show that there can be mixing of decomposed spaces with each other, which leads to mixings of the following expressions. We obtain the mixing forms of curvature relations and one loop renormalization group beta functions by means of these currents.