Conformal quantum mechanics as the CFT sub(1 dual to AdS) sub(2)

A (0+1)-dimensional candidate theory for the CFT sub(1 dual to AdS) sub(2) 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,...

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Bibliographic Details
Published in:Physics letters. B 2011-07, Vol.701 (4), p.503-507
Main Authors: Chamon, Claudio, Jackiw, Roman, Pi, So-Young, Santos, Luiz
Format: Article
Language:English
Subjects:
Correlation
Elementary particles
Generators
Ground state
Invariants
Operators
Quantum mechanics
Online Access:Get full text
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Summary:A (0+1)-dimensional candidate theory for the CFT sub(1 dual to AdS) sub(2) 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.
ISSN:0370-2693
DOI:10.1016/j.physletb.2011.06.023