D-branes and deformation quantization | Zendy

Volker Schomerus | Zendy

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D-branes and deformation quantization

Author(s) -

Volker Schomerus

Publication year - 1999

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1999/06/030

Subject(s) - brane cosmology , boundary conformal field theory , open string , quantization (signal processing) , conformal map , physics , conformal field theory , vertex (graph theory) , operator (biology) , mathematical physics , operator product expansion , operator algebra , commutative property , theoretical physics , string theory , string field theory , pure mathematics , boundary value problem , mathematics , geometry , quantum mechanics , combinatorics , neumann boundary condition , repressor , graph , chemistry , biochemistry , transcription factor , robin boundary condition , gene , algorithm

In this note we explain how world-volume geometries of D-branes can bereconstructed within the microscopic framework where D-branes are describedthrough boundary conformal field theory. We extract the (non-commutative)world-volume algebras from the operator product expansions of open stringvertex operators. For branes in a flat background with constant non-vanishingB-field, the operator products are computed perturbatively to all orders in thefield strength. The resulting series coincides with Kontsevich's presentationof the Moyal product. After extending these considerations to fermionic fieldswe conclude with some remarks on the generalization of our approach to curvedbackgrounds.Comment: 12 pages, Late

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