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Fermions in nonrelativistic AdS/CFT correspondence

Akhavan, A ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevD.79.086010
  3. Publisher: 2009
  4. Abstract:
  5. We extend the nonrelativistic AdS/CFT correspondence to the fermionic fields. In particular, we study the two point function of a fermionic operator in nonrelativistic CFTs by making use of a massive fermion propagating in geometries with Schrödinger group isometry. Although the boundary of the geometries with Schrödinger 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 nonrelativistic CFTs, though a nontrivial regularization may be needed. © 2009 The American Physical Society
  6. Keywords:
  8. Source: Physical Review D - Particles, Fields, Gravitation and Cosmology ; Volume 79, Issue 8 , 2009 ; 15507998 (ISSN)
  9. URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.79.086010