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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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
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Jackiw, Roman
Pi, So-Young
Santos, Luiz
description 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.
doi_str_mv 10.1016/j.physletb.2011.06.023
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subjects Correlation
Elementary particles
Generators
Ground state
Invariants
Operators
Quantum mechanics
title Conformal quantum mechanics as the CFT sub(1 dual to AdS) sub(2)
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