The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory

TL;DR

This paper constructs and analyzes supersymmetric Neveu-Schwarz brane solutions in non-relativistic string theory, revealing their geometric, supersymmetric, and physical properties, including their interpretation as string-like objects and their sources in a non-relativistic context.

Contribution

It introduces new half-supersymmetric NS brane solutions in non-relativistic string theory using longitudinal T-duality, extending background fields to supergravity multiplets.

Findings

Winding string solution is part of the non-relativistic string spectrum.

Unwound string solution exists off-shell and mediates instantaneous gravitational force.

Both solutions are half-supersymmetric and have specific source interpretations.

Abstract

We construct the basic Neveu-Schwarz (NS) brane solutions of non-relativistic string theory using longitudinal T-duality as a solution generating technique. Extending the NS background fields to a supergravity multiplet, we verify that all solutions we find are half-supersymmetric. The two perturbative solutions we find both have an interpretation as the background geometry outside a string-like object. Correspondingly, we refer to these non-Lorentzian backgrounds as winding string and unwound string solution. Whereas the winding string is part of the on-shell spectrum of non-relativistic string theory, the unwound string only makes sense off-shell where it mediates the instantaneous gravitational force. Seen from the nine-dimensional point of view, we find that the winding string solution is sourced by a non-relativistic massive particle and that the unwound string solution is sourced by a massless Galilean particle of zero colour and spin. We explain how these two string solutions fit into a discrete lightcone quantization of string theory. We shortly discuss the basic NS five-brane and Kaluza-Klein monopole solutions and show that they are both half-supersymmetric.