CANONICAL APPROACH TO THE CLOSED STRING NON-COMMUTATIVITY

Ljubica Davidović, Bojan Nikolić, Branislav Sazdović

DOI Number
-
First page
101
Last page
110

Abstract


We consider the propagation of the closed bosonic string in the weakly curved background. We show that the closed string non-commutativity is essentially connected to the T-duality and nontrivial background. From the T-duality transformation laws, connecting the canonical variables of the original and T-dual theory, we nd the structure of the Poisson brackets in the T-dual space corresponding to the fundamental Poisson brackets in the original theory. We nd that the commutative original theory is equivalent to the non-commutative T-dual theory, in which Poisson brackets close on winding and momenta numbers and the coecients are proportional to the background uxes.

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DOI: https://doi.org/10.2298/792

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ISSN 0354-4656 (print)

ISSN 2406-0879 (online)