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Double field theory and membrane sigma-models

Chatzistavrakidis, Athanasios; Jonke, Larisa; Khoo, Fech Scen; Szabo, Richard J. (2018) Double field theory and membrane sigma-models. Journal of High Energy Physics, 2018 (7). ISSN 1126-6708

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Abstract

We investigate geometric aspects of double field theory (DFT) and its formulation as a doubled membrane sigma-model. Starting from the standard Courant algebroid over the phase space of an open membrane, we determine a splitting and a projection to a subbundle that sends the Courant algebroid operations to the corresponding operations in DFT. This describes precisely how the geometric structure of DFT lies in between two Courant algebroids and is reconciled with generalized geometry. We construct the membrane sigma-model that corresponds to DFT, and demonstrate how the standard T-duality orbit of geometric and non-geometric flux backgrounds is captured by its action functional in a unified way. This also clarifies the appearence of noncommutative and nonassociative deformations of geometry in non-geometric closed string theory. Gauge invariance of the DFT membrane sigma-model is compatible with the flux formulation of DFT and its strong constraint, whose geometric origin is explained. Our approach leads to a new generalization of a Courant algebroid, that we call a DFT algebroid and relate to other known generalizations, such as pre-Courant algebroids and symplectic nearly Lie 2-algebroids. We also describe the construction of a gauge-invariant doubled membrane sigma-model that does not require imposing the strong constraint.

Item Type: Article
Uncontrolled Keywords: Differential and Algebraic Geometry, Sigma Models, String Duality, Topological Field Theories
Subjects: NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
generalizirana geometrija i simetrije-GGSymmLarisa JonkeIP-2014-09-3258HRZZ
Depositing User: Larisa Jonke
Date Deposited: 01 Aug 2018 12:30
Last Modified: 01 Aug 2018 12:31
URI: http://fulir.irb.hr/id/eprint/4117
DOI: 10.1007/jhep07(2018)015

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