Double Field Theory and Geometric Quantisation
High Energy Physics - Theory
2021-06-30 v3
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.
Cite
@article{arxiv.2101.12155,
title = {Double Field Theory and Geometric Quantisation},
author = {Luigi Alfonsi and David S. Berman},
journal= {arXiv preprint arXiv:2101.12155},
year = {2021}
}
Comments
50 pages, LaTex, v2 refrences added, v3 published version