Poisson-Lie T-duality

TL;DR

This paper explores Poisson-Lie T-duality, focusing on the algebraic structure of the Drinfeld double and providing a detailed example of the Borelian double, advancing the understanding of non-Abelian duality in string theory.

Contribution

It emphasizes the algebraic approach to Poisson-Lie T-duality and provides a detailed example of the Borelian double, extending previous geometric-focused work.

Findings

Detailed algebraic formulation of Poisson-Lie T-duality

Explicit example of the Borelian double

Enhanced understanding of non-Abelian duality

Abstract

A description of dual non-Abelian duality is given, based on the notion of the Drinfeld double. The presentation basically follows the original paper \cite{KS2}, written in collaboration with P. \v Severa, but here the emphasis is put on the algebraic rather than the geometric aspect of the construction and a concrete example of the Borelian double is worked out in detail.