Singularities of nilpotent Slodowy slices and collapsing levels of \(W\)-algebras

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

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Generic singularities of nilpotent orbit closures
Quantization of the Drinfel'd-Sokolov reduction.
Rationality of \(W\)-algebras: principal nilpotent cases
A remark on boundary level admissible representations
Quantum reduction and representation theory of superconformal algebras
Finite-dimensional representations of \(W\)-algebras
A remark on the \(C_2\)-cofiniteness condition on vertex algebras
Finite vs affine \(W\)-algebras
On rationality of \(W\)-algebras
Infinite-dimensional Lie algebras, theta functions and modular forms
Structure of representations with highest weight of infinite-dimensional Lie algebras
Closures of conjugacy classes of matrices are normal
Simple singularities and simple algebraic groups
Minimal singularities in \(GL_ n\).
Classes unipotentes et sous-groupes de Borel
Rationality of singularities and the Gorenstein property for nilpotent orbits
Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
The relation between quantum \(W\) algebras and Lie algebras
Quantum reduction for affine superalgebras
Introduction to vertex operator algebras and their representations
New phenomena in \(\text{SU}(3)\) supersymmetric gauge theory
Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results
On the irreducibility of associated varieties of \(W\)-algebras
Vertex operator algebras of Argyres-Douglas theories from M5-branes
Vertex operator algebras, Higgs branches, and modular differential equations
On the geometry of conjugacy classes in classical groups
Special transverse slices and their enveloping algebras
A theory of tensor products for module categories for a vertex operator algebra. III
New \(N = 2\) superconformal field theories in four dimensions
A theory of tensor products for module categories for a vertex operator algebra. II
Symplectic singularities
Infinite chiral symmetry in four dimensions
Trialities of orthosymplectic \(\mathcal{W} \)-algebras
Rationality of the exceptional \(\mathcal{W}\)-algebras \(\mathcal{W}_k(\mathfrak{sp}_4,f_{subreg})\) associated with subregular nilpotent elements of \(\mathfrak{sp}_4\)
Localization of affine \(W\)-algebras
Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras
Weight representations of admissible affine vertex algebras
Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions
Sheets and associated varieties of affine vertex algebras
Quasi-lisse vertex algebras and modular linear differential equations
On the restricted Verma modules at the critical level
Quantum dimensions and quantum Galois theory
Integrability of C2-cofinite vertex operator algebras
Good grading polytopes
Symplectic singularities from the Poisson point of view
Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
Harish-Chandra bimodules for quantized Slodowy slices
Quantized symplectic actions and 𝑊-algebras
RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS
Quiver varieties and symmetric pairs
Associated varieties and Higgs branches (a survey)
Rationality, regularity, and 𝐶₂-cofiniteness
Modular invariance of characters of vertex operator algebras
An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras
Tensor Categories
On axiomatic approaches to vertex operator algebras and modules
Rationality of admissible affine vertex algebras in the category \(\mathcal O\)
On the nilpotent orbits arising from admissible affine vertex algebras
Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras
New Approaches for Studying Conformal Embeddings and Collapsing Levels for W–Algebras