Circular quiver gauge theories, isomonodromic deformations and WN fermions on the torus

被引：0

作者：

Bonelli, Giulio ^{[1
,2
,3
]}

Del Monte, Fabrizio ^{[1
,2
,3
]}

Gavrylenko, Pavlo ^{[4
,5
,6
]}

Tanzini, Alessandro ^{[1
,2
,3
]}

机构：

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

[2] Inst Geometry & Phys IGAP, Via Beirut 2-1, I-34151 Trieste, Italy

[3] INFN, Sez Trieste, Trieste, Italy

[4] Skolkovo Inst Sci & Technol, Ctr Adv Studies, Nobel St 1, Moscow 121205, Russia

[5] NRU HSE, Int Lab Representat Theory & Math Phys, Usacheva 6, Moscow 119048, Russia

[6] Bogolyubov Inst Theoret Phys, Metrologichna 14-b, UA-03143 Kiev, Ukraine

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2021年 / 111卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

ZUMINO-WITTEN MODELS; HITCHIN SYSTEMS; TOPOLOGICAL STRINGS; CONFORMAL BLOCKS; QUANTUM; LIOUVILLE; ALGEBRAS; QUANTIZATION; BUNDLES;

D O I：

10.1007/s11005-020-01343-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the relation between class S theories on punctured tori and isomonodromic deformations of flat SL(N) connections on the two-dimensional torus with punctures. Turning on the self-dual Omega-background corresponds to a deautonomization of the Seiberg-Witten integrable system which implies a specific time dependence in its Hamiltonians. We show that the corresponding tau-function is proportional to the dual gauge theory partition function, the proportionality factor being a nontrivial function of the solution of the deautonomized Seiberg-Witten integrable system. This is obtained by mapping the isomonodromic deformation problem to W-N free fermion correlators on the torus.

引用

页数：38

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