Conformal blocks for the four-point function in conformal quantum mechanics
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Jackiw-2012-Conformal blocks for the four-point function.pdf
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Author(s)
Jackiw, Roman
Pi, So-Young
Date Issued
August 2012
Journal
Physical Review D
Publisher
American Physical Society
Citation
Jackiw, R., and S.-Y. Pi. “Conformal Blocks for the Four-point Function in Conformal Quantum Mechanics.” Physical Review D 86.4 (2012). © 2012 American Physical Society
Version
Final published version
Abstract
Extending previous work on two- and three-point functions, we study the four-point function and its conformal block structure in conformal quantum mechanics CFT[subscript 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).
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.86.045017
