${\alpha }^{\prime }$-corrected Poisson-Lie T-duality

Abstract

We propose leading order ${\alpha }^{\prime }$-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.

5 pages