Recursion relations for irregular conformal blocks

by Hamsik Poghossian (Yerevan Institute of Physics (Armenia))

Friday 24 May 2024, 14:00 → 15:00 Europe/Rome

AULA PAOLUZI

The focus of this talk is the   irregular   Liouville conformal block.
An irregular conformal block with a degenerate insertion satisfies a second order differential equation (BPZ analog). On the particular example of rank 3/2 irregular block we will derive this differential equation explicitly.  Investigation of this differential equation leads to recursion relation for the coefficients of the double series expansion of the block. Next, we will describe the subtle procedure, how to merge the degenerate field with the outgoing state, thus finding the pure irregular block corresponding to the partition function of certain Argyres-Douglas theory in $\Omega$-background.