Conformal quantum mechanics as the CFT[subscript 1] dual to AdS[subscript 2]

Abstract

A (0+1)-dimensional candidate theory for the CFT[subscript 1] 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.