Noncommutative Yang-Mills in IIB Matrix Model

1999/08/31 by H. Aoki, N. Ishibashi, S. Iso +3 · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/s0550-3213(99)00633-1

published as Nucl.Phys. B565 (2000) 176-192 · 21pages, LaTeX, no figures, typos corrected

arxiv created 1999/08/31 · arxiv updated 2009/11/30

Abstract

We show that twisted reduced models can be interpreted as noncommutative Yang-Mills theory. Based upon this correspondence, we obtain noncommutative Yang-Mills theory with D-brane backgrounds in IIB matrix model. We propose that IIB matrix model with D-brane backgrounds serve as a concrete definition of noncommutative Yang-Mills. We investigate D-instanton solutions as local excitations on D3-branes. When instantons overlap, their interaction can be well described in gauge theory and AdS/CFT correspondence. We show that IIB matrix model gives us the consistent potential with IIB supergravity when they are well separated.

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