Double Field Theory and Geometric Quantisation
arXiv:2101.12155 · doi:10.1007/JHEP06(2021)059
Abstract
We examine various properties of double field theory and the doubled string sigma model in the context of geometric quantisation. In particular we look at T-duality as the symplectic transformation related to an alternative choice of polarisation in the construction of the quantum bundle for the string. Following this perspective we adopt a variety of techniques from geometric quantisation to study the doubled space. One application is the construction of the double coherent state that provides the shortest distance in any duality frame and a stringy deformed Fourier transform.
arXiv comment50 pages, LaTex, v2 refrences added, v3 published version
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