2009/02/16 by Amin Akhavan, Mohsen Alishahiha, Ali Davody +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Fermion #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.79.086010
published as Phys.Rev.D79:086010,2009 · 12 pages,Latex file; V2: typos corrected, refs added
arxiv created 2009/02/16 · openalex publication_date 2009/04/20 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Schr"odinger group isometry. Although the boundary of the geometries with Schr"odinger 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.