Supercurrent Interactions in Noncommutative Yang-Mills and IIB Matrix Model

TL;DR

This paper explores the long-range supercurrent interactions in noncommutative Yang-Mills theory and their realization within the IIB matrix model, focusing on fermionic backgrounds and gravitino exchanges.

Contribution

It demonstrates how supercurrent interactions in noncommutative Yang-Mills are represented as block-block interactions in the IIB matrix model, especially involving fermionic backgrounds.

Findings

Long-range interactions are linked to nonplanar diagrams in noncommutative Yang-Mills.

Fermionic backgrounds induce supercurrent interactions mediated by gravitino exchanges.

Matrix model block interactions encode the long-range dynamics of the gauge theory.

Abstract

It is known that noncommutative Yang-Mills is equivalent to IIB matrix model with a noncommutative background, which is interpreted as a twisted reduced model. In noncommutative Yang-Mills, long range interactions can be seen in nonplanar diagrams after integrating high momentum modes. These interactions can be understood as block-block interactions in the matrix model. Using this relation, we consider long range interactions in noncommutative Yang-Mills associated with fermionic backgrounds. Exchanges of gravitinos, which couple to a supersymmetry current, are examined.