Affine Laumon Spaces and Iterated W-Algebras

被引：0

作者：

Creutzig, Thomas ^{[1
]}

Diaconescu, Duiliu-Emanuel ^{[2
]}

Ma, Mingyang ^{[3
]}

机构：

[1] Univ Alberta, Dept Math & Stat, Edmonton, AB, Canada

[2] Rutgers State Univ, New High Energy Theory Ctr, New Brunswick, NJ USA

[3] Rutgers State Univ, Dept Phys & Astron, New Brunswick, NJ USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 402卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

QUANTUM REDUCTION; BLOWUP;

D O I：

10.1007/s00220-023-04754-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A family of vertex algebras whose universal Verma modules coincide with the cohomology of affine Laumon spaces is found. This result is based on an explicit expression for the generating function of Poincare polynomials of these spaces. There is a variant of quantum Hamiltonian reduction that realizes vertex algebras which we call iterated W-algebras and our main conjecture is that the vertex algebras associated to the affine Laumon spaces are subalgebras of iterated W-algebras.

引用

页码：2133 / 2168

页数：36

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