Non-associative Deformations of Geometry in Double Field Theory

Understand

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.