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Conformal quantum mechanics as the CFT1 dual to AdS2

2011/06/03 by Claudio Chamon, C. Chamon, R. Jackiw +4 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Dual (grammatical number) #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Primary field #Quantum mechanics #Theoretical physics #Vacuum state #hep-th

paper · pdf · doi:10.1016/j.physletb.2011.06.023

6 pages

arxiv created 2011/06/03 · openalex publication_date 2011/06/23 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A (0+1)-dimensional candidate theory for the CFT1 dual to AdS2 is discussed. The quantum mechanical system does not have a ground state that is invariant under the three generators of the conformal group. Nevertheless, we show that there are operators in the theory that are not primary, but whose “non-primary character” conspires with the “non-invariance of the vacuum” to give precisely the correlation functions in a conformally invariant theory.

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