Fermions and the Sch/nrCFT Correspondence

Details Fermions and the Sch/nrCFT Correspondence Fermions and the Sch/nrCFT Correspondence

2009-09-10

arxiv.org/abs/0909.1883v3

JHEP 1003:027,2010

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1007/JHEP03(2010)027

We consider the problem of Dirac fermions propagating on a spacetime of Schr\"odinger 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 Schr\"odinger 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.

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