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    A Triviality Result in the AdS/CFT Correspondence for Euclidean Quantum Fields with Exponential Interaction

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    We consider scalar quantum fields with exponential interaction on Euclidean hyperbolic space H2\mathbb{H}^2 in two dimensions. Using decoupling inequalities for Neumann boundary conditions on a tessellation of H2\mathbb{H}^2, we are able to show that the infra-red limit for the generating functional of the conformal boundary field becomes trivial
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