a famous theorem of schur states that for a group $g$ finiteness of $g/z(g)$‎ ‎implies the finiteness of $g'.$ the converse of schur's theorem is an interesting problem which has been considered by some‎ ‎authors‎. ‎recently‎, ‎podoski and szegedy proved the truth of the converse of schur's theorem for capable groups‎. ‎they also established an explicit bound for the index of the...

The superconformal index encodes important information about the protected spectrum of a theory (SCFT), with special case Schur Index counting objects enhanced supersymmetry. authors provide for first time an explicit formula this large class SCFTs by integrating numerous (almost) elliptical integrals. This allows them to several applications like computation non-Lagrangian theories through dua...