Fermions in non-relativistic AdS/CFT correspondence

Details Fermions in non-relativistic AdS/CFT correspondence Fermions in non-relativistic AdS/CFT correspondence

2009-02-02

arxiv.org/abs/0902.0276v2

Phys. Rev. D 79, 086010 (2009)

Physics

High Energy Physics

High Energy Physics - Theory

12 pages,Latex file; V2: typos corrected, refs added

Scientific paper

10.1103/PhysRevD.79.086010

We extend the non-relativistic AdS/CFT correspondence to the fermionic fields. In particular we study the two point function of a fermionic operator in non-relativistic CFTs by making use of a massive fermion propagating in geometries with Schrodinger group isometry. Although the boundary of the geometries with Schrodinger group isometry differ from that in AdS geometries where the dictionary of AdS/CFT is established, using the general procedure of AdS/CFT correspondence, we see that the resultant two point function has the expected form for fermionic operators in non-relativistic CFTs, though a non-trivial regularization may be needed.

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