Abstract
We use a T-duality invariant action to investigate the behaviour of a string in non-geometric backgrounds, where there is a non-trivial global O(D, D) patching or monodromy. This action leads to a set of Dirac brackets describing the dynamics of the doubled string, with these brackets determined only by the monodromy. This allows for a simple derivation of non-commutativity and non-associativity in backgrounds which are (even locally) non-geometric. We focus here on the example of the three-torus with H-flux, finding non-commutativity but not non-associativity. We also comment on the relation to the exotic 5 22 brane, which shares the same monodromy.
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Blair, C.D.A. Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds. J. High Energ. Phys. 2015, 91 (2015). https://doi.org/10.1007/JHEP06(2015)091
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DOI: https://doi.org/10.1007/JHEP06(2015)091