Giant magnon-like solution in Sch_5 x S^5

Abstract

In this paper we have found a classical giant magnon-like solution with both infinite and finite angular momentum moving in Sch_5 x S^5 with B-field, which is believed to be dual to dipole-deformed N=4 super Yang-Mills theory. This string state propagates as a point particle in non-trivial subspace of the Sch_5 space but shows a giant magnon-like property in the S^2 subspace. We derive the energy-momentum dispersion relations and their finite-size correction for the case of finite but large angular momentum.

12 pages; new results on finite-size corrections are added

References in corpus (7)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• Gauge invariant finite size spectrum of the giant magnon
• Schrödinger geometries arising from Yang-Baxter deformations
• Interacting finite-size magnons
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$
• Giant magnons and spiky strings in the Schrodinger/dipole-deformed CFT correspondence

Cited by in corpus (4)

• String theory on the Schrodinger pp-wave background
• From Peccei Quinn symmetry to mass hierarchy problem
• Giant Gravitons in the Schrodinger holography
• Pulsating strings in $Sch{r}_5\times T^{1,1}$ background