Topological recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots

被引：0

作者：

Dunin-Barkowski, Peter ^{[1
,2
,3
]}

Kazarian, Maxim ^{[4
,5
]}

Popolitov, Aleksandr ^{[2
,6
,7
]}

Shadrin, Sergey ^{[8
]}

Sleptsov, Alexey ^{[3
,6
,7
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Fac Math, Usacheva 6, Moscow 119048, Russia

[2] NRC Kurchatov Inst, Moscow 123182, Russia

[3] Skoltech, HSE Skoltech Int Lab Representat Theory & Math Phy, Skoltech Bolshoy Blvd 30,Bld 1, Moscow 121205, Russia

[4] Natl Res Univ Higher Sch Econ, Fac Math, Int Lab Cluster Geometry, Usacheva 6, Moscow 119048, Russia

[5] Skoltech, Ctr Adv Studies, Bolshoy Blvd 30,Bld 1, Moscow 121205, Russia

[6] Inst Informat Transmiss Problems, Moscow 127994, Russia

[7] Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Russia

[8] Univ Amsterdam, Korteweg De Vries Inst Math, Postbus 9424, NL-1090 GE Amsterdam, Netherlands

来源：

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2022年 / 26卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

SPECTRAL CURVES; HURWITZ NUMBERS; INVARIANTS; MODEL;

D O I：

暂无

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We prove that topological recursion applied to the spectral curve of colored HOMFLY-PT polynomials of torus knots reproduces the n-point functions of a particular partition function called the ex-tended Ooguri-Vafa partition function. This generalizes and refines the results of Brini-Eynard-Marin tilde o and Borot-Eynard-Orantin.We also discuss how the statement of spectral curve topological recursion in this case fits into the program of Alexandrov-Chapuy- Eynard-Harnad of establishing the topological recursion for gen-eral weighted double Hurwitz numbers partition functions (a.k.a. KP tau-functions of hypergeometric type).

引用

页数：42

共 4 条

[1] Combinatorial structure of colored HOMFLY-PT polynomials for torus knots
Dunin-Barkowski, Petr
Popolitov, Aleksandr
Shadrin, Sergey
Sleptsov, Alexey
[J]. COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2019, 13 (04) : 763 - 826
[2] Colored HOMFLY-PT polynomials that distinguish mutant knots
Nawata, Satoshi
Ramadevi, P.
Singh, Vivek Kumar
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2017, 26 (14)
[3] Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials
Ekholm, Tobias
Ng, Lenhard
[J]. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2020, 24 (08)
[4] Colored HOMFLY-PT polynomials of quasi-alternating 3-braid knots
Singh, Vivek Kumar
Chbili, Nafaa
[J]. NUCLEAR PHYSICS B, 2022, 980

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