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Cosets from equivariant W-algebras | | Thomas Creutzig
; Shigenori Nakatsuka
; | | Date: |
1 Jun 2022 | | Abstract: | The equivariant $mathcal{W}$-algebra of a simple Lie algebra $mathfrak{g}$
is a BRST reduction of the algebra of chiral differential operators on the Lie
group of $mathfrak{g}$. We construct a family of vertex algebras
$A[mathfrak{g}, kappa, n]$ as subalgebras of the equivariant
$mathcal{W}$-algebra of $mathfrak{g}$ tensored with the integrable affine
vertex algebra $L_n(check{mathfrak{g}})$ of the Langlands dual Lie algebra
$check{mathfrak{g}}$ at level $nin mathbb{Z}_{>0}$. They are conformal
extensions of the tensor product of an affine vertex algebra and the principal
$mathcal{W}$-algebra whose levels satisfy a specific relation. | | Source: | arXiv, 2206.00194 | | Services: | Forum | Review | PDF | Favorites | |
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