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Quantum Hamiltonian reductions for W-algebras
Justine Fasquel, Shigenori Nakatsuka
In this paper, we establish a general criterion for good pairs, namely pairs consisting of a nilpotent orbit and an even good grading in a simple Lie algebra, which guarantees the…
Minimal W-algebras of at level minus one
Thomas Creutzig, Justine Fasquel, Vladimir Kovalchuk +2
For we show that the simple minimal -algebra of at level minus one is isomorphic to the even subalgebra of the tensor produ…
On the structure of W-algebras in type A
Thomas Creutzig, Justine Fasquel, Andrew R. Linshaw +1
We formulate and prove examples of a conjecture which describes the W-algebras in type A as successive quantum Hamiltonian reductions of affine vertex algebras associated with seve…
On some simple orbifold affine VOAs at non-admissible level arising from rank one 4D SCFTs
Tomoyuki Arakawa, Xuanzhong Dai, Justine Fasquel +2
We study the representations of some simple affine vertex algebras at non-admissible level arising from rank one 4D SCFTs. In particular, we classify the irreducible highest weight…
Orthosymplectic Feigin-Semikhatov duality
Justine Fasquel, Shigenori Nakatsuka
We study the representation theory of the subregular W-algebra of type B and the principal W-superalgebra $\mathcal{W}^\ell(\mathfrak{…