Double field theory and membrane sigma-models

Athanasios Chatzistavrakidis, Larisa Jonke, Fech Scen Khoo, Richard Joseph Szabo

Research output: Contribution to journalArticle

14 Citations (Scopus)
14 Downloads (Pure)

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.

Original languageEnglish
Article number15
JournalJournal of High Energy Physics
Volume2018
Issue number7
Early online date3 Jul 2018
DOIs
Publication statusPublished - Jul 2018

Keywords

  • Differential and Algebraic Geometry
  • Sigma Models
  • String Duality
  • Topological Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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