Non-associative Deformations of Geometry in Double Field Theory
High Energy Physics - Theory
2015-06-18 v2 Mathematical Physics
math.MP
Abstract
Non-geometric string backgrounds were proposed to be related to a non-associative deformation of the space-time geometry. In the flux formulation of double field theory (DFT), the structure of mathematically possible non-associative deformations is analyzed in detail. It is argued that on-shell there should not be any violation of associativity in the effective DFT action. For imposing either the strong or the weaker closure constraint we discuss two possible non-associative deformations of DFT featuring two different ways how on-shell associativity can still be kept.
Keywords
Cite
@article{arxiv.1312.0719,
title = {Non-associative Deformations of Geometry in Double Field Theory},
author = {Ralph Blumenhagen and Michael Fuchs and Falk Hassler and Dieter Lust and Rui Sun},
journal= {arXiv preprint arXiv:1312.0719},
year = {2015}
}
Comments
29 pages, 1 figure, v2: major revision of section 4, discussion of closure constraint changed