10 citations · 15 across the 12 of their papers we have counts for
12 papers
Reduction and inverse-reduction functors I: standard -modules
Justine Fasquel, Ethan Fursman, David Ridout
Quantum hamiltonian reduction is a fundamental tool of conformal field theory and vertex algebra representation theory. It has traditionally been applied to study highest-weight mo…
On mode transition algebras for -graded vertex algebras and applications to bosonic ghosts
Katrina Barron, Justine Fasquel, Florencia Orosz Hunziker +1
We study the mode transition algebras and Zhu algebras in the setting of -graded vertex algebras, with particular focus on the Weyl vertex algebra at central charge 2 (…
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 Virasoro-type reductions and inverse Hamiltonian reductions for -algebras and -algebras
Justine Fasquel, Vladimir Kovalchuk, Shigenori Nakatsuka
In this article, the Virasoro-type reduction and the corresponding inverse reductions are established for W-algebras associated with classical Lie type and nilpotent orbits of heig…
Connecting affine -algebras: A case study on
Justine Fasquel, Zachary Fehily, Ethan Fursman +1
We introduce the partial reductions and inverse Hamiltonian reductions between affine -algebras along the closure relations of associated nilpotent orbits in the case…
Modularity of admissible-level minimal models with denominator
Justine Fasquel, Christopher Raymond, David Ridout
We use the newly developed technique of inverse quantum hamiltonian reduction to investigate the representation theory of the simple affine vertex algebra $\mathsf{A}_{2}(\mathsf{u…
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{…
OPEs of rank two W-algebras
Justine Fasquel
In this short note, we provide OPEs for several affine W-algebras associated with Lie algebras of rank two and give some direct applications.
Rationality of the exceptional W-algebras associated with subregular nilpotent elements of
Justine Fasquel
We prove the rationality of the exceptional W-algebras associated with the simple Lie algebra and subregular nilpotent elements, proving a new particular case of…