Giant magnons and spiky strings in the Schrodinger/dipole-deformed CFT correspondence

TL;DR

This paper constructs semi-classical string solutions in a Schrödinger spacetime, extending known giant magnon and spiky string solutions to a dipole-deformed CFT dual, and discusses their potential dual operators.

Contribution

It introduces new semi-classical string solutions in Schrödinger spacetime that generalize giant magnon and spiky strings to a dipole-deformed holographic setting.

Findings

Solutions reduce to known $AdS_5 imes S^5$ solutions when deformation is off.

Solutions are confined to an $S^3$ subspace with non-zero B-field components.

Speculation on dual field theory operators related to these solutions.

Abstract

We construct semi-classical string solutions of the Schr\"odinger $Sch_5 \times S^5$ spacetime, which is conjectured to be the gravity dual of a non-local dipole-deformed CFT. They are the counterparts of the giant magnon and spiky string solutions of the undeformed $AdS_5 \times S^5$ to which they flow when the deformation parameter is turned off. They live in an $S^3$ subspace of the five-sphere along the directions of which the $B$-field has non-zero components having also extent in the $Sch_5$ part of the metric. Finally, we speculate on the form of the dual field theory operators.