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The quantum Hamiltonian reduction conjecture for the extended Bershadsky–Polyakov algebra
Let $\mathsf{C}$ denote the extended vertex operator algebra obtained as the order- $2$ simple current extension of $\mathsf{A}_1\brac{5,2}$ . Let $\mathfrak{g}_2$ be the simple Lie…
Conjecturesolvedbershadsky-polyakov-algebras quantum-hamiltonian-reduction vertex-operator-algebrasarXiv posted 2 days ago
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The order-2 simple current extension conjecture for the Bershadsky–Polyakov algebra at level 5/3
Let $\mathsf{C}$ be the order- $3$ simple current extension of the Bershadsky–Polyakov algebra $\mathsf{BP}\brac{5,3}$ generated by the simple currents $\mathcal{H}_{2/3,1}$ and…
Conjecturesolvedbershadsky-polyakov-algebras simple-currents vertex-operator-algebrasarXiv posted 2 days ago

The quantum Hamiltonian reduction conjecture for the extended Bershadsky–Polyakov algebra