Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics
High Energy Physics - Theory
2013-05-30 v2 Mathematical Physics
math.MP
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, 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).
Keywords
Cite
@article{arxiv.1205.0443,
title = {Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics},
author = {R. Jackiw and S. -Y. Pi},
journal= {arXiv preprint arXiv:1205.0443},
year = {2013}
}
Comments
Formula for 4-point function is corrected and generalized