On 6j-symbols for symmetric representations of U q (su N )

被引：8

作者：

Mironov, A. ^{[1
,2
,3
,4
]}

Morozov, A. ^{[2
,3
,4
]}

Sleptsov, A. ^{[2
,3
,4
,5
]}

机构：

[1] Russian Acad Sci, Lebedev Phys Inst, Moscow 119991, Russia

[2] Alikhanov Inst Theoret & Expt Phys, Moscow 117218, Russia

[3] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 127994, Russia

[4] Natl Res Nucl Univ, MEPhI Moscow Engn Phys Inst, Moscow 115409, Russia

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

来源：

JETP LETTERS | 2017年 / 106卷 / 10期

基金：

俄罗斯科学基金会;

关键词：

RACAH MATRICES; ORTHOGONAL POLYNOMIALS; CONFORMAL BLOCKS; KNOT POLYNOMIALS; COEFFICIENTS; EVOLUTION; INTEGRABILITY; EXPANSION; ALGEBRA;

D O I：

10.1134/S0021364017220040

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Explicit expressions are found for the 6j symbols in symmetric representations of quantum su (N) through appropriate hypergeometric Askey-Wilson (q-Racah) polynomials. This generalizes the well-known classical formulas for U (q) (su(2)) and provides a link to conformal theories and matrix models.

引用

页码：630 / 636

页数：7

共 50 条

[21] Quantum Teichmuller spaces and Kashaev's 6j-symbols
Bai, Hua
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2007, 7 : 1541 - 1560
[22] Modified 6j-symbols and 3-manifold invariants
Geer, Nathan
Patureau-Mirand, Bertrand
Turaev, Vladimir
ADVANCES IN MATHEMATICS, 2011, 228 (02) : 1163 - 1202
[23] Ring-shaped functions and Wigner 6j-symbols
Mardoyan, LG
THEORETICAL AND MATHEMATICAL PHYSICS, 2006, 146 (02) : 248 - 258
[24] The vertex-face correspondence and the elliptic 6j-symbols
Konno, H
LETTERS IN MATHEMATICAL PHYSICS, 2005, 72 (03) : 243 - 258
[25] The Vertex-Face Correspondence and the Elliptic 6j-Symbols
Hitoshi Konno
Letters in Mathematical Physics, 2005, 72 : 243 - 258
[26] GROWTH OF QUANTUM 6j-SYMBOLS AND APPLICATIONS TO THE VOLUME CONJECTURE
Belletti, Giulio
Detcherry, Renaud
Kalfagianni, Efstratia
Yang, Tian
JOURNAL OF DIFFERENTIAL GEOMETRY, 2022, 120 (02) : 199 - 229
[27] EIGENVALUES OF CASIMIR OPERATORS OF U(N) AND SU(N) FOR TOTALLY SYMMETRIC AND ANTISYMMETRIC REPRESENTATIONS
KOBAYASHI, K
PROGRESS OF THEORETICAL PHYSICS, 1973, 49 (01): : 345 - 347
[28] Orthogonal Polynomials, 6J-Symbols, and Statistical Weights of SOS Models
Valinevich P.A.
Derkachov S.E.
Isaev A.P.
Komisarchuk A.V.
Journal of Mathematical Sciences, 2019, 238 (6) : 834 - 853
[29] Quantum coadjoint action and the 6j-symbols of Uqsl2
Baseilhac, Stephane
INTERACTIONS BETWEEN HYPERBOLIC GEOMETRY, QUANTUM TOPOLOGY AND NUMBER THEORY, 2011, 541 : 103 - 143
[30] Interplay between symmetries of quantum 6j-symbols and the eigenvalue hypothesis
Victor Alekseev
Andrey Morozov
Alexey Sleptsov
Letters in Mathematical Physics, 2021, 111

← 1 2 3 4 5 →