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arXiv · 1307.6158

Canonical approach to the closed string noncommutativity

Ljubica Davidovic·Bojan Nikolic·Branislav Sazdovic
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Abstract

We consider the closed string moving in the weakly curved background and its totally T-dualized background. Using T-duality transformation laws, we find the structure of the Poisson brackets in the T-dual space corresponding to the fundamental Poisson brackets in the original theory. From this structure we obtain that the commutative original theory is equivalent to the non-commutative T-dual theory, whose Poisson brackets are proportional to the background fluxes times winding and momenta numbers. The non-commutative theory of the present article is more nongeometrical then T-folds and in the case of three space-time dimensions corresponds to the nongeometric space-time with $R$-flux.

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Ljubica Davidovic, Bojan Nikolic, Branislav Sazdovic. 2013-11-20. Canonical approach to the closed string noncommutativity. https://doi.org/10.1140/epjc%2Fs10052-014-2734-5

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