Schrödinger holography with z = 2

Andrade, T.; Keeler, C.; Peach, A.; Ross, S.F.

Abstract

We investigate holography for asymptotically Schrödinger spacetimes, using a frame formalism based on the anisotropic scaling symmetry. We build on our previous work on $z\lt 2$ to propose a dictionary for z = 2. For z = 2, the scaling symmetry does not act on the additional null direction, which implies that in our dictionary it does not correspond to one of the field theory directions. This is significantly different from previous analyses based on viewing Schrödinger as a deformation of AdS. We study this dictionary in the linearized theory and in an asymptotic expansion. We show that a solution exists in an asymptotic expansion for arbitrary sources for the relevant operators in the stress energy complex.

Citation

Andrade, T., Keeler, C., Peach, A., & Ross, S. (2015). Schrödinger holography with z = 2. Classical and Quantum Gravity, 32(8), https://doi.org/10.1088/0264-9381/32/8/085006

• Journal Article Type: Article
• Acceptance Date: Mar 2, 2015
• Publication Date: Apr 23, 2015
• Deposit Date: Apr 2, 2015
• Publicly Available Date: Mar 30, 2016
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 32
• Issue: 8
• DOI: https://doi.org/10.1088/0264-9381/32/8/085006
• Public URL: https://durham-repository.worktribe.com/output/1410612
• Related Public URLs: http://arxiv.org/abs/1412.0031