2000/04/30 by Soon-Tae Hong, Won Tae Kim, Young-Jai Park +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.62.085010
published as Phys.Rev. D62 (2000) 085010 · 12 pages, no figure, some expressions corrected, to appear Phys. Rev. D
arxiv created 2000/07/25 · openalex publication_date 2000/09/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study noncommutative geometry in the framework of the Batalin-Fradkin-Tyutin (BFT) scheme, which converts a second class constraint system into a first class one. In an open string, the theory of noncommutative geometry appears due to mixed boundary conditions having second class constraints, which arise in string theory with D-branes under a constant Neveu-Schwarz B field. The introduction of a new coordinate y on a D-brane through the 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.