Note on correlation functions in conformal quantum mechanics

Abstract

We suggest a method to compute the correlation functions in conformal quantum mechanics (CFT${}_1$) for the fields that transform under a non-local representation of $\mathfrak{sl}(2)$ basing on the invariance properties. Explicit calculations of 2- and 3-point correlation functions are presented.

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• Conformal quantum mechanics as the CFT${}_1$ dual to AdS${}_2$
• Superconformal mechanics
• Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics
• Critical scaling dimension of D-module representations of N=4,7,8 Superconformal Algebras and constraints on Superconformal Mechanics
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Cited by in corpus (7)

• Conformal Quantum Mechanics and Sine-Square Deformation
• Proper time reparametrization in cosmology: Mobius symmetry and Kodama charges
• Spectral Properties of the Symmetry Generators of Conformal Quantum Mechanics: A Path-Integral Approach
• Interpolating Boundary Conditions on $Ad{S}_2$
• $n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
• Cosmology as a CFT${}_1$
• QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions