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
收藏
页码：40 / 50
页数：11
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