A slow review of the AGT correspondence

B Le Floch - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

Correlation functions with fusion-channel multiplicity in Toda field theory

V Belavin, B Estienne, O Foda… - Journal of High Energy …, 2016 - Springer
A bstract Current studies of\({\mathcal {W}} _N\) Toda field theory focus on correlation
functions such that the\({\mathcal {W}} _N\) highest-weight representations in the fusion …

Invariants of knots and links at roots of unity

L Bishler, A Mironov, A Morozov - Journal of Geometry and Physics, 2023 - Elsevier
We present a comprehensive classification of invariants of knots and links associated with
irreducible representations of U q (sl N), when the parameter of quantization q is a root of …

Knot Polynomials from-Matrices: Where is Physics?

AS Anokhina - Physics of Particles and Nuclei, 2020 - Springer
We try to present on the elementary level a popular subject of the mathematical physics. The
subject begins with the famous paper by E. Witten “Quantum field theory and the Jones …

[PDF][PDF] Полиномы узлов: при чем здесь физика?

АС Анохина - Физика элементарных частиц и атомного ядра, 2020 - jinr.ru
Мы собираемся обсудить следующее удивительное явление: система методов,
изначально разработанных для описания физических систем, оказалась также …

Knot Polynomials from-Matrices: Wherefore This Mathematics?

AS Anokhina - Physics of Particles and Nuclei, 2021 - Springer
This text is a continuation of the overview “Knot polynomials from-matrices: where is
physics?”(Phys. Part. Nucl. 51, 172 (2020)). We continue to discuss the basics of a popular …

HOMFLY Polynomials of Pretzel Knots

W Qin - arXiv preprint arXiv:2101.00695, 2021 - arxiv.org
HOMFLY polynomials are one of the major knot invariants being actively studied. They are
difficult to compute in the general case but can be far more easily expressed in certain …

[PDF][PDF] Полиномы узлов из R-матриц: зачем такая математика?

АС Анохина - Physics of Particles and Nuclei, 2020 - researchgate.net
Этот текст–продолжение обзора “Полиномы узлов из R-матриц: причем здесь
физика?”(ЭЧАЯ 2020. Т. 51 С. 223–314). Мы продолжаем обсуждать основы …