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Note on correlation functions in conformal quantum mechanics

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arxiv 1706.10225 v1 pith:GPMPJHWQ submitted 2017-06-30 hep-th

Sadi Khodaee , Dmitri Vassilevich This is my paper · ORCID
classification hep-th
keywords correlationfunctionsconformalmechanicsquantumbasingcalculationscompute
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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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Cited by 1 Pith paper

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  1. An Ode to the Penrose and Witten transforms in Twistor space for 3D CFT

    hep-th 2025-05 conditional novelty 6.0 of 10

    The authors show that the infinity twistor must be added to twistor-space invariants to describe general primary operators in 3D CFTs, and they derive the corresponding Penrose, Witten, and super-Penrose transforms.

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