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Non-associative Deformations of Geometry in Double Field Theory

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arxiv 1312.0719 v2 pith:2FY64UEZ submitted 2013-12-03 hep-th math-phmath.MP

Ralph Blumenhagen , Michael Fuchs , Falk Hassler , Dieter Lust , Rui Sun This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords non-associativedeformationsassociativitydoublefieldgeometryon-shellpossible
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Non-geometric string backgrounds were proposed to be related to a non-associative 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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