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arXiv · 2207.13733

T-Duality and Lie bi-algebroid structures

Alexander Cardona·Juan José Villamarín
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Abstract

We show that the geometric notion of duality behind $T$-duality, between two string theories on different manifolds $E, \hat{E}$ in the sense of \cite{BHM1}\cite{BHM2}, is precisely that of Lie bialgebroids due to Mackenzie and Xu \cite{MX}.

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Alexander Cardona, Juan José Villamarín. 2022-07-27. T-Duality and Lie bi-algebroid structures. https://arxiv.org/abs/2207.13733

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