Noncommutative geometry and D-branes
Abstract
We apply noncommutative geometry to a system of N parallel D-branes, which is interpreted as a quantum space. The Dirac operator defining the quantum differential calculus is identified to be the zero-momentum mode of the supercharge for strings connecting D-branes. As a result of the calculus, Connes' Yang-Mills action functional on the quantum space reproduces the dimensionally reduced U(N) super Yang-Mills action as the low energy effective action for D-brane dynamics. Several features that may look ad hoc in a noncommutative geometric construction are shown to have very natural physical or geometric origin in the D-brane picture in superstring theory.
- Publication:
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Physics Letters B
- Pub Date:
- February 1997
- DOI:
- 10.1016/S0370-2693(97)00202-5
- arXiv:
- arXiv:hep-th/9611233
- Bibcode:
- 1997PhLB..398...52H
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 16 pages, Latex, typos corrected and minor modification made