Non-geometric fluxes and non-associative geometry

Details Non-geometric fluxes and non-associative geometry Non-geometric fluxes and non-associative geometry

2012-03-28

arxiv.org/abs/1203.6203v2

Physics

High Energy Physics

High Energy Physics - Theory

Contribution to the proceedings of the Corfu Summer Institute 2011, School and Workshops on Elementary Particle Physics and Gr

Scientific paper

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.

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