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Non-Relativistic Conformal Symmetries; Infinite Extensions and Logarithmic Representation

Hosseiny Esfidvajani, Ali | 2011

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 41387 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Rouhani, Shahin
  7. Abstract:
  8. We study different aspects of non-relativistic conformal symmetries. Schrodinger and Galilean Conformal Algebra (GCA) are reviewed extensively. We as well study possible extensions of non-relativistic conformal symmetries. We find a new class of infinite dimensional non-relativistic conformal symmetries in 2+1. We study logarithmic representation of Schrodinger symmetry. As well we utilize contraction approach and obtain both ordinary and logarithmic representations of GCA. Finally we investigate some aspects of logarithmic GCA in the context of holography principle
  9. Keywords:
  10. AdS/CFT Correspondence ; Non-Relativistic Conformal Symmetry ; Schrodinger Symmetry ; Galilean Conformal Symmetry (GCS) ; Logarithmic Conformal Symmetry

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