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

[31] Interplay between symmetries of quantum 6j-symbols and the eigenvalue hypothesis
Alekseev, Victor
Morozov, Andrey
Sleptsov, Alexey
LETTERS IN MATHEMATICAL PHYSICS, 2021, 111 (02)
[32] SYMMETRICAL IRREDUCIBLE REPRESENTATIONS OF SU(3)Q IN THE SU(2)Q X U(1) BASIS AND SOME EXTENSIONS TO SU(N)Q-SUPERSET-OF-SU(N-1)Q X U(1)
PAN, F
CHEN, JQ
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (14): : 4017 - 4024
[33] Wigner 6j symbols for SU(N): Symbols with at least two quark-lines
Alcock-Zeilinger, Judith
Keppeler, Stefan
Plaetzer, Simon
Sjodahl, Malin
JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (02)
[34] An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
Hjalmar Rosengren
The Ramanujan Journal, 2007, 13 : 131 - 166
[35] An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
Rosengren, Hjalmar
RAMANUJAN JOURNAL, 2007, 13 (1-3): : 131 - 166
[36] ELLIPTIC HYPERGEOMETRIC FUNCTION AND 6j-SYMBOLS FOR THE SL(2, C) GROUP
Derkachov, S. E.
Sarkissian, G. A.
Spiridonov, V. P.
THEORETICAL AND MATHEMATICAL PHYSICS, 2022, 213 (01) : 1406 - 1422
[37] TOPOLOGICAL QUANTUM-FIELD THEORIES FROM GENERALIZED 6J-SYMBOLS
DURHUUS, B
JAKOBSEN, HP
NEST, R
REVIEWS IN MATHEMATICAL PHYSICS, 1993, 5 (01) : 1 - 67
[38] STATE SUM INVARIANTS OF 3-MANIFOLDS AND QUANTUM 6J-SYMBOLS
TURAEV, VG
VIRO, OY
TOPOLOGY, 1992, 31 (04) : 865 - 902
[39] STATE SUM INVARIANTS OF COMPACT 3-MANIFOLDS WITH BOUNDARY AND 6J-SYMBOLS
KAROWSKI, M
MULLER, W
SCHRADER, R
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (18): : 4847 - 4860
[40] THE U(Q)SL(3) 6-J SYMBOLS AND STATE SUM MODEL
ARCHER, FJ
PHYSICS LETTERS B, 1992, 295 (3-4) : 199 - 208

← 1 2 3 4 5 →