Wednesday, July 24, 2013

1307.6158 (Ljubica Davidovic et al.)

Canonical approach to the closed string noncommutativity    [PDF]

Ljubica Davidovic, Bojan Nikolic, Branislav Sazdovic
We consider the closed string moving in the weakly curved background and its totally T-dualized background and investigate its noncommutativity. 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 the result that the commutative original theory is equivalent to the non-commutative T-dual theory, in which the noncommutativity parameters are proportional to the background fluxes and winding and momenta numbers.
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