Supercurves

TL;DR

This paper introduces the concept of supercurves as the TST-dual of D2-brane supertubes, revealing their properties, bounds, and quantum states, thus advancing understanding of supersymmetric string configurations.

Contribution

It identifies supercurves as a new class of supersymmetric strings with specific bounds and quantum states, expanding the landscape of supersymmetric solutions.

Findings

Classical upper bound on angular momentum derived and proven.

Supercurves are characterized as strings with arbitrary transverse displacement traveling at light speed.

Quantum bound is saturated by a specific bosonic oscillator state in SO(8).

Abstract

The TST-dual of the general 1/4-supersymmetric D2-brane supertube is identified as a 1/4-supersymmetric IIA `supercurve': a string with arbitrary transverse displacement travelling at the speed of light. A simple proof is given of the classical upper bound on the angular momentum, which is also recovered as the semi-classical limit of a quantum bound. The classical bound is saturated by a `superhelix', while the quantum bound is saturated by a bosonic oscillator state in a unique SO(8) representation.