A double field theory algebroid (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 toward coordinate invariant descriptions of double field theory and the construction of the corresponding sigma-model.
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Research Article| May 07 2021
Double field theory algebroid and curved L∞-algebras
Clay James Grewcoe ;
Clay James Grewcoe, Larisa Jonke; Double field theory algebroid and curved L∞-algebras. J. Math. Phys. 1 May 2021; 62 (5): 052302. https://doi.org/10.1063/5.0041479
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