Hamiltonian Approach To Dp-Brane Noncommutativity

Details Hamiltonian Approach To Dp-Brane Noncommutativity Hamiltonian Approach To Dp-Brane Noncommutativity

Jul 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010pobeo..88...61n&link_type=abstract

Publications of the Astronomical Observatory of Belgrade, vol. 88, pp. 61-69

Astronomy and Astrophysics

Astronomy

Scientific paper

In this article we investigate Dp-brane noncommutativity using Hamiltonian approach. We consider separately open bosonic string and type IIB superstring which endpoints are attached to the Dp-brane. From requirement that Hamiltonian, as the time translation generator, has well defined derivatives in the coordinates and momenta, we obtain boundary conditions directly in the canonical form. Boundary conditions are treated as canonical constraints. Solving them we obtain initial coordinates in terms of the effective ones as well as effective momenta. Presence of momenta implies noncommutativity of the initial coordinates. Effective theory, defined as initial one on the solution of boundary conditions, is its Ω even projection, where Ω is world-sheet parity transformation Ω:σ→-σ. The effective background fields are expressed in terms of Ω even and squares of the Ω odd initial background fields.

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