An Introduction to Generalised Dualities and their Applications to Holography and Integrability

Daniel C. Thompson

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arXiv · 1904.11561

An Introduction to Generalised Dualities and their Applications to Holography and Integrability

Daniel C. Thompson

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Abstract

These pedagogical lectures given at the Corfu Summer Institute 2018 review two generalised notions of T-duality, non-Abelian T-duality and Poisson-Lie duality, and their applications. We explain how each of these has seen recent application in the context of holography. Non-Abelian T-duality has been used to construct new holographic dual geometries. Poisson-Lie duality has been used to construct new integrable string sigma-models including the $\eta$- and $\lambda$-deformations of the $AdS_5\times S^5$ superstring thought to encode quantum group deformations of holography. We also comment on the doubled worldsheet description that makes such dualities manifest.

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Daniel C. Thompson. 2019-04-25. An Introduction to Generalised Dualities and their Applications to Holography and Integrability. https://arxiv.org/abs/1904.11561

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