BFT embedding of noncommutative D-brane system

Details BFT embedding of noncommutative D-brane system BFT embedding of noncommutative D-brane system

2000-04-24

arxiv.org/abs/hep-th/0004157v3

Phys.Rev. D62 (2000) 085010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figure, some expressions corrected, to appear Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.085010

We study noncommutative geometry in the framework of the Batalin-Fradkin-Tyutin(BFT) scheme, which converts second class constraint system into first class one. In an open string theory noncommutative geometry appears due to the mixed boundary conditions having second class constraints, which arise in string theory with $D$-branes under a constant Neveu-Schwarz $B$-field. Introduction of a new coordinate $y$ on $D$-brane through BFT analysis allows us to obtain the commutative geometry with the help of the first class constraints, and the resulting action corresponding to the first class Hamiltonian in the BFT Hamiltonian formalism has a new local symmetry.

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