Nonrelativistic AdS/CFT

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Davody, Ali | 2011

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Type of Document: Ph.D. Dissertation
Language: Farsi
Document No: 41746 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Ardalan, Farhad; Alishahiha, Mohsen
Abstract:
We extend the non-relativistic AdS/CFT correspondence to the fermionic fields. In particular we study the two point function of a fermionic perator 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. Also we study Weyl symmetry for non-relativistic conformal filed theories on curved spatial spaces، and calculate it’s quantum anomaly. We show that there is no geometric anomaly، and the non-relativistic Weyl anomaly can appear only due to interaction
Keywords:
String Theory ; AdS/CFT Correspondence ; Nonrelativistic Conformal Field Theory ; Weyl Anomaly ; Entanylement Entropy

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