Quiver W-algebras - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Lett.Math.Phys. Année : 2018

Quiver W-algebras

Taro Kimura

Résumé

For a quiver with weighted arrows, we define gauge-theory K-theoretic W-algebra generalizing the definition of Shiraishi et al. and Frenkel and Reshetikhin. In particular, we show that the qq-character construction of gauge theory presented by Nekrasov is isomorphic to the definition of the W-algebra in the operator formalism as a commutant of screening charges in the free field representation. Besides, we allow arbitrary quiver and expect interesting applications to representation theory of generalized Borcherds–Kac–Moody Lie algebras, their quantum affinizations and associated W-algebras.

Dates et versions

hal-01792420 , version 1 (15-05-2018)

Identifiants

Citer

Taro Kimura, Vasily Pestun. Quiver W-algebras. Lett.Math.Phys., 2018, 108 (6), pp.1351-1381. ⟨10.1007/s11005-018-1072-1⟩. ⟨hal-01792420⟩
43 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More