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

Abstract

We construct semi-classical string solutions of the Schrödinger $Sc{h}_5\times S^5$ 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 $Ad{S}_5\times S^5$ 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 $Sc{h}_5$ part of the metric. Finally, we speculate on the form of the dual field theory operators.

16 pages; v2: references added

References in corpus (10)

• On three-point correlation functions in the gauge/gravity duality
• Dyonic Giant Magnons
• Infinite spin limit of semiclassical string states
• Spiky strings and giant magnons on S5
• Dressing the Giant Magnon
• Schrödinger geometries arising from Yang-Baxter deformations
• Magnons, Classical Strings and beta-Deformations
• Twisted Bethe equations from a twisted S-matrix
• Giant magnons and spiky strings on the conifold
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$

Cited by in corpus (6)

• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• Giant magnon-like solution in Sch_5 x S^5
• String theory on the Schrodinger pp-wave background
• Giant Gravitons on the Schrodinger pp-wave geometry
• Giant Gravitons in the Schrodinger holography
• Pulsating strings in $Sch{r}_5\times T^{1,1}$ background