Twisted Poisson Structures and Non-commutative/non-associative Closed String Geometry
High Energy Physics - Theory
2012-05-28 v3
Abstract
In this paper we discuss non-commutative and non-associative geometries that emerge in the context of non-geometric closed string backgrounds. T-duality and doubled field theory plays an important role in formulating the corresponding effective action for these kind of non-geometric string backgrounds. As we will argue, the emerging non-commutative and non-associative algebras for the closed string (dual) coordinates and (dual) momenta can be mathematically described by a twisted Poisson structure, in closed analogy to the phase space of a point particle moving in the field of a magnetic monopole.
Cite
@article{arxiv.1205.0100,
title = {Twisted Poisson Structures and Non-commutative/non-associative Closed String Geometry},
author = {Dieter Lust},
journal= {arXiv preprint arXiv:1205.0100},
year = {2012}
}
Comments
22 pages, Proceedings of the Corfu Summer Institute 2011, revised version with added references