The Algebroid Structure of Double Field Theory

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

doi:10.22323/1.347.0132

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 language	English
Article number	132
Journal	Proceedings of Science
Volume	347
DOIs	https://doi.org/10.22323/1.347.0132
Publication status	Published - 19 Sept 2019
Event	Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" - Corfu, Greece Duration: 31 Aug 2018 → 28 Sept 2018

Keywords

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

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AU - Chatzistavrakidis, Athanasios

AU - Jonke, Larisa

AU - Khoo, Fech Scen

AU - Szabo, Richard J.

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N2 - 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.

AB - 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.

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KW - math.MP

KW - math.SG

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M3 - Article

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T2 - Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity"

Y2 - 31 August 2018 through 28 September 2018

ER -

The Algebroid Structure of Double Field Theory

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