Logarithmic W-algebras and Argyres-Douglas theories at higher rank

Logarithmic W-algebras and Argyres-Douglas theories at higher rank

Blog Article

Abstract Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed.These algebras whole wheat phyllo dough are close cousins of logarithmic W-algebras of Feigin and Tipunin and they are also obtained as modifications of semiclassical limits of vertex algebras appearing in the context of S-duality for four-dimensional gauge theories.In the case of type A and principal nilpotent element the character agrees precisely with the Schur-Index formula for corresponding Argyres-Douglas theories with irregular singularities.

For other nilpotent elements they are identified with Schur-indices of type IV Argyres-Douglas theories.Further, there is a conformal embedding pattern of these vertex operator algebras that nicely matches the RG-flow of Argyres-Douglas theories as discussed soiebiologique.com by Buican and Nishinaka.