Generalized Dualities and Higher Derivatives

TL;DR

This paper develops a unified framework for computing first-order corrections to generalized dualities in Double Field Theory, applicable to various T-duality types and deformations across multiple string theories.

Contribution

It introduces a universal expression for first-order corrections to generalized dualities, encompassing Abelian, non-Abelian, and Poisson-Lie cases, with potential for higher-order extensions.

Findings

Derived a unified formula for first-order duality corrections.

Recovered known examples as consistency checks.

Applicable to multiple string theories and deformations.

Abstract

Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in terms of local $O(d,d)$ transformations. We review this idea and use the higher derivative formulation of DFT to compute the first order corrections to generalized dualities. Our main result is a unified expression that can be easily specified to any generalized T-duality (Abelian, non-Abelian, Poisson-Lie, etc.) or deformations such as Yang-Baxter, in any of the theories captured by the bi-parametric deformation (bosonic, heterotic strings and HSZ theory), in any supergravity scheme related by field redefinitions. The prescription allows further extensions to higher orders. As a check we recover some previously known particular examples.