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Paper   IPM / Physic / 9518
School of Physics
  Title:   Fermions in Non-Relativistic AdS/CFT Correspondence
  Author(s): 
1.  A. Akhavan
2.  M. Alishahiha
3.  A. Davody
4.  A. Vahedi
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  79
  Year:  2009
  Pages:   086010
  Supported by:  IPM
  Abstract:
We extend the non-relativistic AdS/CFT correspondence to the fermionic fields. In particular we study two the 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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