SCFT

conformal supersymmetric superconformal index
emergent generators: $S_I^{\alpha }$ and ${\overline{S}}_I^{\dot{\alpha }}$. superconformal primary fields should be annihilated by them, as well as $K_{\mu }$.
shortening condition: 1/2-BPS, 1/4-BPS (most common)
6d (1,0) and 6d (2,0) theories are all superconformal.
integrability
inserting defects: symmetry partially breaking$\to$ Ward identity (superspace analycity)$\to$ superconformal blocks (also by representation theory).