Theory of Ultracold Superstrings

TL;DR

This paper proposes a method to realize an ultracold superstring in laboratory conditions by combining vortex lines in optical lattices with bound fermions, exploring supersymmetry and its experimental implications.

Contribution

It provides a detailed derivation and experimental protocol for creating a supersymmetric string in ultracold atomic systems, linking it to string theory.

Findings

Identification of fermionic bound states in vortex cores

Tuning laser parameters to achieve supersymmetry

Discussion of experimental signatures of supersymmetry

Abstract

The combination of a vortex line in a one-dimensional optical lattice with fermions bound to the vortex core makes up an ultracold superstring. We give a detailed derivation of the way to make this supersymmetric string in the laboratory. In particular, we discuss the presence of a fermionic bound state in the vortex core and the tuning of the laser beams needed to achieve supersymmetry. Moreover, we discuss experimental consequences of supersymmetry and identify the precise supersymmetry in the problem. Finally, we make the mathematical connection with string theory.