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arXiv · 1203.6203

Non-geometric fluxes and non-associative geometry

Erik Plauschinn
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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.

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Erik Plauschinn. 2012-04-12. Non-geometric fluxes and non-associative geometry. https://arxiv.org/abs/1203.6203

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