2013

Diagonal Limit for Conformal Blocks in d Dimensions

Hogervorst, Matthijs, Osborn, Hugh, Rychkov, Slava

Understand

Conformal blocks in any number of dimensions depend on two variables z, zbar.

Here we study their restrictions to the special "diagonal" kinematics z = zbar, previously found useful as a starting point for the conformal bootstrap analysis.
We show that conformal blocks on the diagonal satisfy ordinary differential equations, third-order for spin zero and fourth-order for the general case.
These ODEs determine the blocks uniquely and lead to an efficient numerical evaluation algorithm.

Built on

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