On colored HOMFLY polynomials for twist knots

被引：31

作者：

Mironov, Andrei ^{[1
,2
,3
]}

Morozov, Alexei ^{[2
,3
]}

Morozov, Andrey ^{[2
,3
,4
,5
]}

机构：

[1] PN Lebedev Phys Inst, Moscow 119991, Russia

[2] ITEP, Moscow 117218, Russia

[3] Natl Res Nucl Univ MEPhI, Moscow 115409, Russia

[4] Moscow MV Lomonosov State Univ, Moscow 119991, Russia

[5] Chelyabinsk State Univ, Lab Quantum Topol, Chelyabinsk 454001, Russia

来源：

MODERN PHYSICS LETTERS A | 2014年 / 29卷 / 34期

关键词：

Chern-Simons theory; colored HOMFLY polynomials; CHERN-SIMONS THEORY; DIFFERENTIAL HIERARCHY; GENUS EXPANSION; FIELD-THEORY; INVARIANTS; OPERATORS; ALGEBRA;

D O I：

10.1142/S0217732314501831

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Recent results of Gu and Jockers provide the lacking initial conditions for the evolution method in the case of the first nontrivially colored HOMFLY polynomials H[ 21] for the family of twist knots. We describe this application of the evolution method, which finally allows one to penetrate through the wall between (anti) symmetric and non-rectangular representations for a whole family. We reveal the necessary deformation of the differential expansion, what, together with the recently suggested matrix model approach gives new opportunities to guess what it could be for a generic representation, at least for the family of twist knots.

引用

页数：11