Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Ioana Coman, Myungbo Shim, Masahito Yamazaki, Yehao Zhou,
| Summary:
We study Vertex Operator Algebras (VOAs) obtained from the H-twist of 3d
$mathcal{N}=4$ linear quiver gauge theories. We find that H-twisted VOAs can
be regarded as the ”chiralization” of the extended Higgs branch: many of the
ingredients of the Higgs branch are naturally ”uplifted” into the VOAs, while
conversely the Higgs branch can be recovered as the associated variety of the
VOA. We also discuss the connection of our VOA with affine
$mathcal{W}$-algebras. For example, we construct an explicit homomorphism from
an affine $mathcal{W}$-algebra
$mathcal{W}^{-n+1}(mathfrak{gl}_n,f_{mathrm{min}})$ into the H-twisted VOA
for $T^{[2,1^{n-2}]}_{[1^n]}[mathrm{SU}(n)]$ theories. Motivated by the
relation with affine $mathcal{W}$-algebras, we introduce a reduction procedure
for the quiver diagram, and use this to give an algorithm to systematically
construct novel free-field realizations for VOAs associated with general linear
quivers.
| Search Query: ArXiv Query: search_query=au:”Masahito Yamazaki”&id_list=&start=0&max_results=3