Miura operators, degenerate fields and the M2-M5 intersection

Understand

We determine the mathematical structures which govern the $\Omega$ deformation of supersymmetric intersections of M2 and M5 branes.

• We find that the supersymmetric intersections govern many aspects of the theory of W-algebras, including degenerate modules, the Miura transform and Coulomb gas constructions.
• We give an algebraic interpretation of the Pandharipande-Thomas box counting in $\mathbb{C}^3$.