Supersymmetric Liouville Field Theory and Racah-Wigner Symbols

被引：0

作者：

Apresyan, E. ^{[1
]}

Sarkissian, G. ^{[1
,2
]}

Spiridonov, V. P. ^{[2
,3
]}

机构：

[1] Yerevan Phys Inst, Yerevan 0036, Armenia

[2] JINR, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Oblast, Russia

[3] Natl Res Univ Higher Sch Econ, Moscow, Russia

来源：

PHYSICS OF PARTICLES AND NUCLEI | 2023年 / 54卷 / 06期

关键词：

D O I：

10.1134/S1063779623060047

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：

In this paper we discuss some aspects of the fusion matrix and Racah-Wigner 6j-symbols in supersymmetric Liuoville field theory on the basis of the supersymmetric hypergeometric function. All known expressions for these -symbols are described and a new parametrization is obtained from the symmetry transformations of the latter hypergeometric function.

引用

页码：1072 / 1076

页数：5

共 8 条

[1] A parafermionic hypergeometric function and supersymmetric 6j-symbols [J].

Apresyan, Elena ;

Sarkissian, Gor ;

Spiridonov, Vyacheslav P. .

NUCLEAR PHYSICS B, 2023, 990

[2]

Hadasz L, 2014, J HIGH ENERGY PHYS, DOI 10.1007/JHEP10(2014)091

[3]

Pawelkiewicz M., 2014, J. High Energy Phys., V1404

[4] Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of Uq(sl(2, R)) [J].

Ponsot, B ;

Teschner, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 224 (03) :613-655

[5]

Ruijsenaars S.N.M., 1999, Particles and Fields, P251, DOI [DOI 10.1007/978-1-4612-1410-6_7, 10.1007/978-1-4612-1410-67, DOI 10.1007/978-1-4612-1410-67]

[6] From rarefied elliptic beta integral to parafermionic star-triangle relation [J].

Sarkissian, Gor ;

Spiridonov, Vyacheslav P. .

JOURNAL OF HIGH ENERGY PHYSICS, 2018, (10)

[7] Rarefied elliptic hypergeometric functions [J].

Spiridonov, V. P. .

ADVANCES IN MATHEMATICS, 2018, 331 :830-873

[8] 6j Symbols for the Modular Double, Quantum Hyperbolic Geometry, and Supersymmetric Gauge Theories [J].

Teschner, Joerg ;

Vartanov, Grigory .

LETTERS IN MATHEMATICAL PHYSICS, 2014, 104 (05) :527-551

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