Toward AGT for Parabolic Sheaves
<jats:title>Abstract</jats:title> <jats:p>We construct explicit elements $W_{ij}^k$ in (a completion of) the shifted quantum toroidal algebra of type $A$ and show that these elements act by 0 on the $K$-theory of moduli spaces of parabolic sheaves. We expect that th...
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| Format: | Article |
| Language: | English |
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Oxford University Press (OUP)
2022
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| Online Access: | https://hdl.handle.net/1721.1/145815 |
| Summary: | <jats:title>Abstract</jats:title>
<jats:p>We construct explicit elements $W_{ij}^k$ in (a completion of) the shifted quantum toroidal algebra of type $A$ and show that these elements act by 0 on the $K$-theory of moduli spaces of parabolic sheaves. We expect that the quotient of the shifted quantum toroidal algebra by the ideal generated by the elements $W_{ij}^k$ will be related to $q$-deformed $W$-algebras of type $A$ for arbitrary nilpotent, which would imply a $q$-deformed version of the Alday-Gaiotto-Tachikawa (AGT) correspondence between gauge theory with surface operators and conformal field theory.</jats:p> |
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