Poisson-Lie T-Duality in Double Field Theory

TL;DR

This paper formulates Double Field Theory using a Drinfeld double, making Poisson-Lie T-duality explicit and extending the theory's applicability beyond abelian cases to include non-abelian T-duality.

Contribution

It introduces a novel formulation of Double Field Theory that incorporates Drinfeld doubles, enabling the explicit realization of Poisson-Lie T-duality.

Findings

Poisson-Lie T-duality is made manifest within Double Field Theory.

The formulation includes both abelian and non-abelian T-duality cases.

The approach covers the full massless bosonic sector of type II string theories.

Abstract

We present a formulation of Double Field Theory with a Drinfeld double as extended spacetime. It makes Poisson-Lie T-duality (including abelian and non-abelian T-duality as special cases) manifest. This extends the scope of possible applications of the theory, which so far captured abelian T-duality only, considerably. The full massless bosonic subsector (NS/NS and R/R) of type II string theories is covered.