Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants

被引：17

作者：

Bershtein, Mikhail ^{[1
,2
,3
]}

Bonelli, Giulio ^{[4
,5
]}

Ronzani, Massimiliano ^{[4
,5
]}

Tanzini, Alessandro ^{[4
,5
]}

机构：

[1] Landau Inst Theoret Phys, Chernogolovka, Russia

[2] Natl Res Univ, Higher Sch Econ, Int Lab Representat Theory & Math Phys, Inst Informat Transmiss Problems, Moscow, Russia

[3] Independent Univ Moscow, Moscow, Russia

[4] Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[5] INFN, Sez Trieste, Trieste, Italy

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2017年 / 118卷

基金：

俄罗斯科学基金会;

关键词：

Exact partition function; Supersymmetry; Equivariant localization; Donaldson invariants; Virasoro conformal blocks; AGT; YANG-MILLS CONNECTIONS; STABLE SHEAVES; BETTI NUMBERS; MODULI SPACE; RANK-2;

D O I：

10.1016/j.geomphys.2017.01.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT correspondence between N = 2 supersymmetric gauge theories and two-dimensional conformal field theory. Talk(1) presented by A.T. at the conference Interactions between Geometry and Physics in honor of Ugo Bruzzo's 60th birthday 17-22 August 2015, Guaruja, Sao Paulo, Brazil, mostly based on Bawane et al. (0000) and Bershtein et al. (0000). (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：40 / 50

页数：11

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