Conformal blocks for the four-point function in conformal quantum mechanics

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. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. 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 1 , which realizes the SOð2; 1Þ 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 SOð2; 1Þ.