The q-AGT-W Relations Via Shuffle Algebras

被引：29
|
作者：
Negut, Andrei [1 ,2 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
[2] Simion Stoilow Inst Math, Bucharest, Romania
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 358卷 / 01期
基金：
美国国家科学基金会;
关键词：
K-THEORY; VERTEX OPERATORS; HILBERT SCHEME; HALL ALGEBRA; FIELD-THEORY; INSTANTONS; MODULI; SYMMETRY; SHEAVES; EXTS;
D O I：
10.1007/s00220-018-3102-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct the action of the q-deformed W-algebra on its level r representation geometrically, using the moduli space of U(r) instantons on the plane and the double shuffle algebra. We give an explicit LDU decomposition for the action of W-algebra currents in the fixed point basis of the level r representation, and prove a relation between the Carlsson-Okounkov Ext operator and intertwiners for the deformed W-algebra. We interpret this result as a q-deformed version of the AGT-W relations.
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页码：101 / 170
页数：70
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