Canonical approach to the closed string noncommutativity
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 -flux.
Cite
@article{arxiv.1307.6158,
title = {Canonical approach to the closed string noncommutativity},
author = {Ljubica Davidovic and Bojan Nikolic and Branislav Sazdovic},
journal= {arXiv preprint arXiv:1307.6158},
year = {2014}
}
Comments
We add the Sec. 4. where we compared our results with previous ones. We also improved Abstract, Introduction and Conclusion as described above. In addition, we corrected all typos and grammatical errors we noticed