Derivations on the triplet $W$-algebras with ${\mathfrak{sl}}_2$-symmetry

Hiromu Nakano

We construct derivations on the triplet $W$-algebras ${\mathcal{W}}_{p_{+},p_{-}}$ by refining the Frobenius homomorphisms of Tsuchiya-Wood and show that the property of the Adamović-Mil…