An operadic order-by-order deformation-obstruction theory for chiral quantizations of vertex Poisson algebras, controlled by chiral Poisson cohomology, with reduction to de Rham cohomology for affine symplectic varieties and rigidity for Virasoro minimal models.
Vertex Operator Algebras and 3d N=4 gauge theories
6 Pith papers cite this work, alongside 82 external citations. Polarity classification is still indexing.
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abstract
We introduce two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d N=4 gauge theories. We conjecture various relations between these boundary VOA's and properties of the (topologically twisted) bulk theories. We discuss applications to the Symplectic Duality and Geometric Langlands programs.
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Constructs ħ-adic sheaves of vertex superalgebras on hypertoric varieties, proves the associated affine variety recovers the singular hypertoric one, establishes the 3d Higgs branch conjecture for abelian cases, and shows the algebras are fermionic simple-current extensions of prior even versions wi
Constructs fermionic extensions of W-algebras W^{-N+1}(sl_N, f_sub) via BRST cohomology in 3d N=4 abelian gauge theories and explicitly computes the N=3 case as an extension of the Bershadsky-Polyakov algebra.
Constructs two vertex superalgebras chiralizing extended quiver varieties and establishes a map between them with vanishing and injectivity results under technical assumptions.
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.
Exact quarter-indices for basic ortho-symplectic corners in N=4 SYM are obtained in closed form, proven equal under duality, and interpreted as vacuum characters of BCD W-algebras and osp(1|2N) VOAs.
citing papers explorer
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On the deformation theory of chiral quantizations
An operadic order-by-order deformation-obstruction theory for chiral quantizations of vertex Poisson algebras, controlled by chiral Poisson cohomology, with reduction to de Rham cohomology for affine symplectic varieties and rigidity for Virasoro minimal models.
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Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories
Constructs ħ-adic sheaves of vertex superalgebras on hypertoric varieties, proves the associated affine variety recovers the singular hypertoric one, establishes the 3d Higgs branch conjecture for abelian cases, and shows the algebras are fermionic simple-current extensions of prior even versions wi
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Fermionic extensions of $W$-algebras via 3d $\mathcal{N}=4$ gauge theories with a boundary
Constructs fermionic extensions of W-algebras W^{-N+1}(sl_N, f_sub) via BRST cohomology in 3d N=4 abelian gauge theories and explicitly computes the N=3 case as an extension of the Bershadsky-Polyakov algebra.
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Chiralization of Quiver Varieties
Constructs two vertex superalgebras chiralizing extended quiver varieties and establishes a map between them with vanishing and injectivity results under technical assumptions.
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Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.
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Quarter-indices for basic ortho-symplectic corners
Exact quarter-indices for basic ortho-symplectic corners in N=4 SYM are obtained in closed form, proven equal under duality, and interpreted as vacuum characters of BCD W-algebras and osp(1|2N) VOAs.