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arXiv · hep-th/9908141

Noncommutative Yang-Mills in IIB Matrix Model

H. Aoki·N. Ishibashi·S. Iso·H. Kawai·Y. Kitazawa·T. Tada
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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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H. Aoki, N. Ishibashi, S. Iso, H. Kawai, Y. Kitazawa, T. Tada. 1999-08-31. Noncommutative Yang-Mills in IIB Matrix Model. https://doi.org/10.1016/s0550-3213(99)00633-1

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