The Triplet Vertex Operator Algebra W(p) and the Restricted Quantum Group at Root of Unity

Abstract

We prove the abelian category of the modules over triplet VOA W(p) is category equivalent to the abelian category of the modules over quantum algebra of type sl_2 at root of unity.

48 pages

References in corpus (3)

• Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras
• On the triplet vertex algebra W(p)
• Classification of irreducible modules of certain subalgebras of free boson vertex algebra

Cited by in corpus (3)

• Radford, Drinfeld, and Cardy boundary states in (1,p) logarithmic conformal field models
• Lusztig limit of quantum sl(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models
• Yetter--Drinfeld structures on Heisenberg doubles and chains