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.
Vertex Operator Algebras and 3dN= 4 gauge theories
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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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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.
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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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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.