Realization of D4-Branes at Angles in Super Yang-Mills Theory

TL;DR

This paper constructs an explicit super Yang-Mills solution representing angled D4-branes, demonstrating supersymmetry preservation, energy consistency with M(atrix) theory, and a geometric interpretation of brane configurations.

Contribution

It provides a new explicit solution in super Yang-Mills theory for D4-branes at angles, linking gauge theory, supergravity, and M(atrix) theory descriptions.

Findings

Solution preserves 3/16 supersymmetry.

Energy matches M(atrix) theory predictions.

Configuration describes angled D4-branes and M5-branes.

Abstract

An explicit solution in super Yang-Mills theory, which after T-duality describes two sets of D4-branes at angles, is constructed. The gauge configuration possesses 3/16 unbroken supersymmetry for the equal magnitudes of field strengths, and can be considered as the counterpart of the solution of D=11 supergravity with the same amount of supersymmetry in the solutions given by Gauntlett et al. The energy of the Born-Infeld action of the gauge configuration gives further evidence for the geometrical interpretation as two sets of D4-branes at angles. The energy of super Yang-Mills theory is shown to coincide with that of M(atrix) theory. This fact shows that the configuration with 3/16 supersymmetry can be realized in M(atrix) theory, which describes two sets of longitudinal M5-branes (with common string direction) at angles.