Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations

TL;DR

This paper investigates four-dimensional noncommutative super Yang-Mills theories with eight supercharges using brane configurations in string theory, revealing their moduli space structure and one-loop beta function.

Contribution

It provides a brane-based analysis of NCSYM theories with 8 supercharges, including the derivation of the one-loop beta function and the description of the moduli space via an elliptic curve.

Findings

The one-loop beta function of the theories is computed.

The moduli space is characterized by an elliptic curve similar to the commutative case.

Brane configurations reveal detailed dynamics of the theories.

Abstract

In this paper we consider D=4 NCSYM theories with 8 supercharges. We study these theories through a proper type IIA (and M-theory) brane configuration. We find the one loop beta function of these theories and show that there is an elliptic curve describing the moduli space of the theory, which is in principle the same as the curve for the commutative counter-part of our theory. We study some other details of the dynamics by means of this brane configuration.