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arXiv · hep-th/9611233

Noncommutative Geometry and D-Branes

Pei-Ming Ho·Yong-Shi Wu
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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 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.

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Pei-Ming Ho, Yong-Shi Wu. 1996-12-09. Noncommutative Geometry and D-Branes. https://doi.org/10.1016/s0370-2693(97)00202-5

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