Integrable deformation of CPn and generalised Kähler geometry

Abstract: Generalised geometry has proven to be a central framework to understand T- and U-duality. In particular it provides a critical language to understand two-dimensional deformations of non-linear sigma-models on group manifolds and coset spaces which admit Poisson-Lie symmetry. This latter can be seen as a relaxation of the notion of isometry allowing one to perform a generalised notion of T-duality. In this talk I will discuss joint work with F. Hassler, G. Piccinini, D. Thompson, where we studied integrable deformations of CPn background. Notwithstanding the à priori complexity of these deformations, we show how the deformed CPn background is an example of a bi-Hermitian or generalised Kähler geometry. In addition we explain how the generalised Kähler potential can be constructed for the deformed CPn geometry and provide explicit forms for n=1,2.

HEP - theory

Audience: researchers in the topic

Exceptional geometry seminar series

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