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Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics

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arxiv 1205.0443 v2 pith:DNAXBRQT submitted 2012-05-02 hep-th math-phmath.MP

R. Jackiw , S.-Y. Pi This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords conformalfunctionpointblockmechanicsquantumstateswork
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abstract

Extending previous work on 2 -- and 3 -- point functions, we study the 4 -- point function and its conformal block structure in conformal quantum mechanics CFT$_1$, which realizes the SO(2,1) symmetry group. Conformal covariance is preserved even though the operators with which we work need not be primary and the states are not conformally invariant. We find that only one conformal block contributes to the four-point function. We describe some further properties of the states that we use and we construct dynamical evolution generated by the compact generator of SO(2.1).

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Cited by 2 Pith papers

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  1. Universal Constraints for Conformal Line Defects

    hep-th 2025-01 conditional novelty 7.0 of 10

    Any conformal line defect satisfies new integrated consistency conditions from shape deformation symmetry, verified against known data and used to predict new OPE coefficients.

  2. Bulk-boundary entanglement correspondence and the Ryu-Takayanagi conjecture in an $AdS_2/CFT_1$ setup

    hep-th 2025-02 conditional novelty 4.0 of 10

    For a free scalar plus Majorana field in AdS2, boundary thermofield-double entanglement entropy matches, up to additive constants, the bulk horizon entanglement entropy and the log of a near-boundary geodesic length.

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