Duality Transformations Away From Conformal Points

TL;DR

This paper investigates target space duality transformations in bosonic sigma models away from conformal fixed points, deriving consistency conditions that help determine beta functions at one-loop order.

Contribution

It introduces a set of nontrivial consistency conditions for duality transformations outside fixed points, enabling independent calculation of sigma model beta functions at one-loop.

Findings

Consistency conditions are satisfied at one-loop order for arbitrary backgrounds.

Conditions allow for independent determination of beta functions.

Duality transformations can be extended beyond conformal points.

Abstract

Target space duality transformations are considered for bosonic sigma models and strings away from RG fixed points. A set of consistency conditions are derived, and are seen to be nontrivially satisfied at one-loop order for arbitrary running metric, antisymmetric tensor and dilaton backgrounds. Such conditions are sufficiently stringent to enable an independent determination of the sigma model beta functions at this order.