World Volume Noncommutativity versus Target Space Noncommutativity

Details World Volume Noncommutativity versus Target Space Noncommutativity World Volume Noncommutativity versus Target Space Noncommutativity

1999-01-31

arxiv.org/abs/hep-th/9902004v1

JHEP 9903:012,1999

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTex, no figures

Scientific paper

10.1088/1126-6708/1999/03/012

It is known that the noncommutativity of D-brane coordinate is responsible for describing the higher-dimensional D-branes in terms of more fundamental ones such as D-particles or D-instantons, while considering a noncommutative torus as a target space is conjectured to be equivalent to introducing the background antisymmetric tensor field in matrix models. In the present paper we clarify the dual nature of both descriptions. Namely the noncommutativity of conjugate momenta of the D-brane coordinates realizes the target space structure, whereas noncommutativity of the coordinates themselves realizes world volume structure. We explicitly construct a boundary state for the Dirichlet boundary condition where the string boundary is adhered to the D-brane on the noncommutative torus. There are non-trivial relations between the parameters appeared in the algebra of the coordinates and that of the momenta.

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