Reduction of coupling constants in two-dimensional sigma models

TL;DR

This paper investigates two-dimensional sigma models with curved target spaces, focusing on how the warp factor and dilaton are related in a way that remains invariant under renormalization group flow.

Contribution

It introduces a specific relationship between the warp factor and dilaton that is preserved under renormalization group transformations in these models.

Findings

The relationship is renormalization group invariant.

The models exhibit specific behaviors due to this invariant relationship.

Potential implications for string theory and quantum field theory.

Abstract

Two-dimensional sigma models in curved target spaces are considered in which a relationship between the warp factor and the dilaton is imposed in a renormalization group invariant way.