Noncommutative Yang-Mills in IIB Matrix Model

TL;DR

This paper demonstrates that twisted reduced models can be viewed as noncommutative Yang-Mills theories within the IIB matrix model framework, providing a concrete definition and exploring D-instanton solutions and their interactions.

Contribution

It establishes a correspondence between twisted reduced models and noncommutative Yang-Mills theory in the IIB matrix model, including D-brane backgrounds and instanton solutions.

Findings

Twisted reduced models can be interpreted as noncommutative Yang-Mills theory.

IIB matrix model with D-brane backgrounds defines noncommutative Yang-Mills.

Interaction of overlapping instantons aligns with gauge theory and AdS/CFT results.

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.