The universal N=2 supersymmetric W_infty algebra exists as a 2-parameter family whose Y-algebra quotients satisfy the conjectured dualities, giving coset realizations and strong rationality for W_k(sl_{n+1|n}) at k = -1 + 1/(n+a+1).
Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We give a functorial construction of the genus zero chiral algebras of class $\mathcal{S}$, that is, the vertex algebras corresponding to the theory of class $\mathcal{S}$ associated with genus zero pointed Riemann surfaces via the 4d/2d duality discovered by Beem, Lemos, Liendo, Peelaers, Rastelli and van Rees in physics. We show that there is a unique family of vertex algebras satisfying the required conditions and show that they are all simple and conformal. In fact, our construction works for any complex semisimple group G that is not necessarily simply laced. Furthermore, we show that the associated varieties of these vertex algebras are exactly the genus zero Moore-Tachikawa symplectic varieties that have been recently constructed by Braverman, Finkelberg and Nakajima using the geometry of the affine Grassmannian for the Langlands dual group.
verdicts
UNVERDICTED 3representative citing papers
For m=1 the algebra L_{k1}(D4) is quasi-lisse with associated variety the Zariski closure of the subregular nilpotent orbit and possesses a unique irreducible ordinary module.
Introduces cohomology rings, Hodge numbers and Witten index for unitary N=(2,2) full VOAs; constructs spectral flow algebraically and proves its periodicities equivalent to top-degree cohomology classes, yielding Poincaré duality, T-duality and Frobenius structures.
citing papers explorer
-
Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra
The universal N=2 supersymmetric W_infty algebra exists as a 2-parameter family whose Y-algebra quotients satisfy the conjectured dualities, giving coset realizations and strong rationality for W_k(sl_{n+1|n}) at k = -1 + 1/(n+a+1).
-
A new quasi-lisse affine vertex algebra of type $D_4$
For m=1 the algebra L_{k1}(D4) is quasi-lisse with associated variety the Zariski closure of the subregular nilpotent orbit and possesses a unique irreducible ordinary module.
-
Cohomology ring of unitary $N=(2,2)$ full vertex algebra and mirror symmetry
Introduces cohomology rings, Hodge numbers and Witten index for unitary N=(2,2) full VOAs; constructs spectral flow algebraically and proves its periodicities equivalent to top-degree cohomology classes, yielding Poincaré duality, T-duality and Frobenius structures.