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.
Boundaries, Vermas, and Factorisation,
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The sphere partition function of 3d N=4 Chern-Simons-matter theories is conjectured to equal a sum of twisted traces on Verma modules over the quantization of their moduli spaces of vacua, extending prior work and revealing new Abelian dualities.
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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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Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories
The sphere partition function of 3d N=4 Chern-Simons-matter theories is conjectured to equal a sum of twisted traces on Verma modules over the quantization of their moduli spaces of vacua, extending prior work and revealing new Abelian dualities.