Conformal quantum mechanics as the CFT$_1$ dual to AdS$_2$

Details Conformal quantum mechanics as the CFT$_1$ dual to AdS$_2$ Conformal quantum mechanics as the CFT$_1$ dual to AdS$_2$

2011-06-03

arxiv.org/abs/1106.0726v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

A 0+1-dimensional candidate theory for the CFT$_1$ dual to AdS$_2$ 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.

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