Triproducts, nonassociative star products and geometry of R-flux string compactifications

Understand

We elucidate relations between different approaches to describing the nonassociative deformations of geometry that arise in non-geometric string theory.

• We demonstrate how to derive configuration space triproducts exactly from nonassociative phase space star products and extend the relationship in various directions.
• By foliating phase space with leaves of constant momentum we obtain families of Moyal-Weyl type deformations of triproducts, and we generalize them to new triproducts of differential forms and of tensor fields.
• We prove that nonassociativity disappears on-shell in all instances.