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

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.

33 pages

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Cited by in corpus (7)

• Nonrelativistic Approximations of Closed Bosonic String Theory
• Non-Lorentzian IIB Supergravity from a Polynomial Realization of SL(2,R)
• Anisotropic Compactification of Nonrelativistic M-Theory
• Branched SL(2,Z) Duality
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Nonrelativistic expansion of M2 branes and M theory backgrounds
• Nonrelativistic expansion of type IIA NS5 brane