Fermions and the Sch/nrCFT Correspondence
arXiv:0909.1883 · doi:10.1007/JHEP03(2010)027
Abstract
We consider the problem of Dirac fermions propagating on a spacetime of Schrödinger isometry and the associated boundary Euclidean two-point function of fermionic scaling operators of the holographic dual non-relativistic conformal theory. Paying careful attention to the representations of the Schrödinger algebra that appear in this problem, we show carefully how the on-shell action is constructed and how the boundary theory may be renormalized consistently by the inclusion of appropriate Galilean invariant boundary counterterms.
18 pages
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- Schrödinger symmetry: a historical review
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- Universal time-dependent deformations of Schrodinger geometry
- Logarithmic correlators or responses in non-relativistic analogues of conformal invariance
- Schrodinger Fermi Liquids
- Holographic Renormalization for Fermions in Real Time
- Anisotropic Schrödinger black holes with hyperscaling-violation