String Multiplets from an Invariant 2-Brane

TL;DR

This paper explores a 3D gauge theory derived from D4-brane reductions, revealing an SL(3) symmetry and linking classical solutions to string multiplets, with extensions to non-linear actions and BPS state considerations.

Contribution

It identifies an SL(3) symmetry in a reduced D4-brane gauge theory and connects classical solutions to string multiplets, extending analysis to Born-Infeld actions and BPS states.

Findings

SL(3) symmetry acting on fields and couplings

Classical solutions as SL(3,Z) string multiplets

Extension to non-linear Born-Infeld action

Abstract

We study a three-dimensional gauge theory obtained from the dimensional reduction of a D4-brane worldvolume theory in the background of space-time moduli. An SL(3) symmetry in this theory, which acts on fields as well as coupling constants, is identified. By comparing the energies with the string tensions, we show that certain 1/2 supersymmetric classical solutions of this theory can be identified as SL(3,Z) multiplets of type II strings in eight dimensions. Results are then generalized to the non-linear Born-Infeld action. We also discuss the possibility of 1/8 BPS states in this theory and their representations in terms of string networks.