$\alpha'$-corrected Poisson-Lie T-duality

TL;DR

This paper introduces first-order $eta'$-corrections to Poisson-Lie T-duality rules within Double Field Theory, highlighting the role of Born geometry in maintaining conformal invariance.

Contribution

It provides the first explicit form of $eta'$-corrections to Poisson-Lie T-duality transformations, extending the duality to include stringy corrections.

Findings

$eta'$-corrections preserve conformal invariance.

Born geometry is crucial in the corrected duality framework.

The corrections are consistent with known Double Field Theory results.

Abstract

We propose leading order $\alpha'$-corrections to the Poisson-Lie T-duality transformation rules of the metric, $B$-field, and dilaton. Based on Double Field Theory, whose corrections to this order are known, we argue that they map conformal field theories to conformal field theories. Remarkably, Born geometry plays a central role in the construction.