Nonassociative Gravity in String Theory?
High Energy Physics - Theory
2015-03-17 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
In an on-shell conformal field theory approach, we find indications of a three-bracket structure for target space coordinates in general closed string backgrounds. This generalizes the appearance of noncommutative gauge theories for open strings in two-form backgrounds to a putative noncommutative/nonassociative gravity theory for closed strings probing curved backgrounds with non-vanishing three-form flux. Several aspects and consequences of the three-bracket structure are discussed and a new type of generalized uncertainty principle is proposed.
Cite
@article{arxiv.1010.1263,
title = {Nonassociative Gravity in String Theory?},
author = {Ralph Blumenhagen and Erik Plauschinn},
journal= {arXiv preprint arXiv:1010.1263},
year = {2015}
}
Comments
v2: references added, discussion in section 5 extended; v3: published version, minor technical mistake corrected (discussion & conclusions unchanged)