AN APPLICATION OF AOMOTO-GELFAND HYPERGEOMETRIC-FUNCTIONS TO THE SU(N) KNIZHNIK-ZAMOLODCHIKOV EQUATION

被引：38

作者：

MATSUO, A

机构：

[1] Research Institute for Mathematical Sciences, Kyoto University, Kyoto

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 134卷 / 01期

关键词：

D O I：

10.1007/BF02102089

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Solutions to the Knizhnik-Zamolodchikov equation for Verma modules of the Lie algebra {Mathematical expression} are explicitly given by certain integrals called Aomoto-Gelfand hypergeometric functions. © 1990 Springer-Verlag.

引用

页码：65 / 77

页数：13

共 13 条

[1] GAUSS-MANIN CONNECTION OF INTEGRAL OF DIFFERENCE PRODUCTS [J].

AOMOTO, K .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1987, 39 (02) :191-208

[2]

Aomoto K., 1977, SCI PAPERS COLLEGE G, V27, P49

[3] INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY [J].

BELAVIN, AA ;

POLYAKOV, AM ;

ZAMOLODCHIKOV, AB .

NUCLEAR PHYSICS B, 1984, 241 (02) :333-380

[4] THE 4-POINT CORRELATIONS OF ALL PRIMARY OPERATORS OF THE D=2 CONFORMALLY INVARIANT SU(2) SIGMA-MODEL WITH WESS-ZUMINO TERM [J].

CHRISTE, P ;

FLUME, R .

NUCLEAR PHYSICS B, 1987, 282 (02) :466-494

[5]

CHRISTIE P, 1986, THESIS BONN U

[6]

DATE E, YANGBAXTER EQUATIONS

[7]

FEIGIN BL, 1989, REPRESENTATIONS AFFI

[8]

KNIZHNIK VG, 1984, NUCL PHYS B, V247, P83, DOI 10.1016/0550-3213(84)90374-2

[9]

SCHECHTMAN VV, 1989, INTEGRAL REPRESENTAT

[10] FOCK SPACE REPRESENTATIONS OF THE VIRASORO ALGEBRA - INTERTWINING-OPERATORS [J].

TSUCHIYA, A ;

KANIE, Y .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1986, 22 (02) :259-327

← 1 2 →