Non-geometric fluxes and non-associative geometry

Abstract

In these proceedings, we discuss non-commutativity in closed string theory. In analogy to the open-string sector, for closed strings we first motivate a cyclic double commutator to be evaluated for backgrounds with geometric or non-geometric fluxes. A non-trivial result for such an expression indicates a non-associative structure. Second, we define a conformal field theory at linear order in background fluxes and compute correlation functions therein. From these we motivate a tri-product which captures non-commutative and non-associative effects.

Contribution to the proceedings of the Corfu Summer Institute 2011, School and Workshops on Elementary Particle Physics and Gravity, September 4-18, 2011 Corfu, Greece; 20 pages; v2: references added