Non-commutative Yang–Mills in IIB matrix model Original Research Article

We show that twisted reduced models can be interpreted as non-commutative Yang–Mills theory. Based upon this correspondence, we obtain non-commutative 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 non-commutative 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.