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Email: mphys10@ipb.ac.rs

Abstracts
Bojan Nikolic
From 3D torus with Hflux to torus with Rflux and back
We consider 3D closed bosonic string propagating in the constant metric and KalbRamond field with one nonzero component, B_{xy}=Hz, where field strength H is infinitesimal. In the first part of the article, applying Buscher Tdualization procedure and generalized one, we Tdualize along line x > y > z, which means that we Tdualize first along x coordinate, then along y and, finally, along z coordinate. After first two Tdualizations we obtain Q flux theory which is just locally well defined, while after all three Tdualizations we obtain nonlocal R flux theory. Origin of nonlocality is variable \Delta V defined as line integral, which appears as an argument of the background fields. Rewriting Tdual transformation laws in the canonical form and using standard Poisson algebra, we obtained that Q flux theory is commutative one and the R flux theory is noncommutative and nonassociative one.
In the second part of the article, we reverse the Tdualization line and Tdualize along z > y > x. All three theories are nonlocal, because variable \Delta V appears as an argument of background fields. After the first Tdualization we obtain commutative and associative theory, while after we Tdualize once more, along y, we get noncommutative and associative theory. At the end, dualizing along x, we come to the theory which is both noncommutative and nonassociative. The form of the final Tdual action does not depend on the order of Tdualization while noncommutativity and nonassociativity relations could be obtained from those in the x > y > z case by replacing H > H.


Organizers:
Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics
(University of Belgrade)
Belgrade, Serbia
Mathematical Institute
(Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science
(University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia
Coorganizers:
Institute of Nuclear Sciences "VinÄ¨a"
(University of Belgrade)
Belgrade, Serbia
Institute of Physics
(University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics
(University of Belgrade)
Belgrade, Serbia
Faculty of Sciences
(University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering
(University of Belgrade)
Belgrade, Serbia
SEENETMTP
(Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia
