Abstract
Non-geometric string backgrounds were proposed to be related to a nonassociative deformation of the space-time geometry. In the flux formulation of double field theory (DFT), the structure of mathematically possible non-associative deformations is analyzed in detail. It is argued that on-shell there should not be any violation of associativity in the effective DFT action. For imposing either the strong or the weaker closure constraint we discuss two possible non-associative deformations of DFT featuring two different ways how on-shell associativity can still be kept.
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Blumenhagen, R., Fuchs, M., Haßler, F. et al. Non-associative deformations of geometry in double field theory. J. High Energ. Phys. 2014, 141 (2014). https://doi.org/10.1007/JHEP04(2014)141
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DOI: https://doi.org/10.1007/JHEP04(2014)141