Scalar fields on \lambda-deformed cosets

TL;DR

This paper investigates scalar field behavior on complex geometries from integrable sigma models, using algebraic and group-theoretic techniques to determine spectra despite non-separable equations of motion.

Contribution

It introduces a method to determine scalar spectra on non-isometric, integrable geometries using algebraic and group-theoretic approaches.

Findings

Spectra are fully determined despite non-separable equations.

Algebraic and group-theoretic methods are effective for complex geometries.

The approach overcomes limitations of traditional separation of variables.

Abstract

We study dynamics of scalar fields on a large class of geometries described by integrable sigma models. Although equations of motion are not separable due to absence of isometries and Killing tensors, we completely determine the spectra using algebraic and group-theoretic methods.