Quiver W-algebras

被引:69
|
作者
Kimura, Taro [1 ]
Pestun, Vasily [2 ]
机构
[1] Keio Univ, Tokyo, Japan
[2] IHES, Bures Sur Yvette, France
基金
欧洲研究理事会;
关键词
Supersymmetric gauge theories; Conformal field theories; W-algebras; Quantum groups; Quiver; instanton; HALL ALGEBRA; K-THEORY; QUANTUM; VARIETIES; VIRASORO; DEFORMATIONS; INSTANTONS;
D O I
10.1007/s11005-018-1072-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:1351 / 1381
页数:31
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