String theory on the Schrodinger pp-wave background
arXiv:1906.08269 · doi:10.1007/JHEP08(2019)093
Abstract
We study string theory on the pp-wave geometry obtained by taking the Penrose limit around a certain null geodesic of the non-supersymmetric Schrodinger background. We solve for the spectrum of bosonic excitations and find compelling agreement with the dispersion relation of the giant magnons in the Schrodinger background obtained previously in arXiv:1712.03091. Inspired by the pp-wave spectrum we conjecture an exact in the t'Hooft coupling dispersion relation for the magnons in the original Schrodinger background. We show that the pp-wave background admits exactly 16 Killing spinors. We use the explicit form of the latter in order to derive the supersymmetry algebra of the background which explicitly depends on the deformation parameter. Its bosonic subalgebra is of the Newton-Hooke type.
35 pages; v2: Minor changes, JHEP version
References in corpus (14)
- On three-point correlation functions in the gauge/gravity duality
- Correlation Functions in Non-Relativistic Holography
- On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
- Schrödinger geometries arising from Yang-Baxter deformations
- Correlation functions in the non-relativistic AdS/CFT correspondence
- Twisted Bethe equations from a twisted S-matrix
- Homogeneous Nonrelativistic Geometries as Coset Spaces
- Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
- Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
- Operator Mixing and the AdS/CFT correspondence
- Semiclassical spectrum for BMN string in
- Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
- Giant magnons and spiky strings in the Schrodinger/dipole-deformed CFT correspondence
- Giant magnon-like solution in Sch_5 x S^5