Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-11-28
Phys.Lett.B398:52-60,1997
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, Latex, typos corrected and minor modification made
Scientific paper
10.1016/S0370-2693(97)00202-5
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.
Ho Pei-Ming
Wu Yong-Shi
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