Integration of Double Field Theory Algebroids and Pre-rackoid in Doubled Geometry

Noriaki Ikeda,Shin Sasaki

doi:10.1007/978-981-19-4751-3_44

Integration of Double Field Theory Algebroids and Pre-rackoid in Doubled Geometry

Noriaki Ikeda, Shin Sasaki

https://doi.org/10.1007/978-981-19-4751-3_44

Copy DOI

Publication Date: Jan 1, 2022

Affiliation: Ritsumeikan University, Kitasato University

#Double Field Theory #para-Hermitian Manifold + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

AbstractWe study the integration problem of the D-bracket and a Vaisman (metric, pre-DFT) algebroid which are geometric structures of double field theory (DFT). We introduce a notion of a pre-rackoid as a global group-like object for the infinitesimal algebroid structure. The pre-rackoid is defined by cotangent paths along doubled foliations in a para-Hermitian manifold. We show that when the strong constraint of DFT is imposed, the self-distributivity of the rack action is recovered and the pre-rackoid reduces to a rackoid that is an integration of the Courant algebroid.KeywordsDouble field theoryAlgebroidRack

Full Text