Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds

作者：Blair Chris D A^*

来源：The Journal of High Energy Physics, 2015, 2015(6): 091.

DOI：10.1007/JHEP06(2015)091

• Bosonic Strings
• String Duality

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(2)(2) brane, which shares the same monodromy.

• 出版日期2015-6-16