Double field theory algebroid and curved L∞-algebras (CROSBI ID 301116)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Grewcoe, Clay James ; Jonke, Larisa
engleski
Double field theory algebroid and curved L∞-algebras
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.
double field theory ; Lie-infinity algebra
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Podaci o izdanju
62 (5)
2021.
052302
17
objavljeno
0022-2488
1089-7658
10.1063/5.0041479
Povezanost rada
Fizika, Matematika