Double field theory algebroid and curved L∞-algebras

Grewcoe, Clay James; Jonke, Larisa (2021) Double field theory algebroid and curved L∞-algebras. Journal of mathematical physics, 62 (5). ISSN 0022-2488

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Abstract

A DFT algebroid is a special case of the metric (or Vaisman) algebroid, shown to be relevant in understanding the symmetries of double field theory. In particular, a DFT algebroid is a structure defined on a vector bundle over doubled spacetime equipped with the C-bracket of double field theory. In this paper we give the definition of a DFT algebroid as a curved L∞-algebra and show how implementation of the strong constraint of double field theory can be formulated as an L∞-algebra morphism. Our results provide a useful step towards coordinate invariant descriptions of double field theory and the construction of the corresponding sigma-model.

Item Type:	Article
Uncontrolled Keywords:	double field theory ; Lie-infinity algebra
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Simetrije u kvantnoj gravitaciji Jonke, Larisa IP-2019-04-4168 HRZZ
Depositing User:	Larisa Jonke
Date Deposited:	28 Dec 2021 14:47
URI:	http://fulir.irb.hr/id/eprint/6828
DOI:	10.1063/5.0041479

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