The Algebroid Structure of Double Field Theory

Athanasios Chatzistavrakidis, Larisa Jonke, Fech Scen Khoo, Richard J. Szabo

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Abstract

By doubling the target space of a canonical Courant algebroid and subsequently projecting down to a specific subbundle, we identify the data of double field theory (DFT) and hence define its algebroid structure. We specify the properties of the DFT algebroid. We show that one of the Courant algebroid properties plays the role of the strong constraint in the context of DFT. The DFT algebroid is a special example when properties of a Courant algebroid are relaxed in a specific and dependent manner. When otherwise, we uncover additional structures.
Original languageEnglish
Article number132
JournalProceedings of Science
Volume347
DOIs
Publication statusPublished - 19 Sep 2019
EventCorfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" - Corfu, Greece
Duration: 31 Aug 201828 Sep 2018

Keywords

  • hep-th
  • math-ph
  • math.DG
  • math.MP
  • math.SG

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