Off-shell Bethe Ansatz equation and N point correlators in SU(2) WZNW theory - INSPIRE

DataBETA

Off-shell Bethe Ansatz equation and N point correlators in SU(2) WZNW theory

Hratchya M. Babujian
(
- Bonn U.
)

Jun, 1993

15 pages

Published in:

J.Phys.A 26 (1993) 6981-6990

e-Print:

hep-th/9307062 [hep-th]

DOI:

10.1088/0305-4470/26/23/037

Report number:

BONN-HE-93-22

View in:

ADS Abstract Service

reference search60 citations

Citations per year

Abstract: (Desy)

We prove that the wave vectors of the off-shell Bethe Ansatz equation for the inhomogeneous SU(2) lattice vertex model render in the quasiclassical limit the solution of the Knizhnik-Zamolodchikov equation.

field theory: conformal
dimension: 2
Wess-Zumino-Witten model
symmetry: SU(2)
n-point function
model: vertex
Bethe ansatz
Knizhnik-Zamolodchikov equation
approximation: semiclassical

References(19)

Figures(0)

Yang-Baxter Algebras, Integrable Theories and Quantum Groups

H.J. De Vega
(
- Paris U., VI-VII
)

- Int.J.Mod.Phys.A 4 (1989) 2371-2463,
- Nucl.Phys.B Proc.Suppl. 18 (1990) 229-282,
- In *Jaca 1989, Proceedings, Integrability and quantization* 229-282. Paris VI Univ. - PAR-LPTHE-88-26 (88,rec.Nov.) 171 p.
•
DOI:
- 10.1142/S0217751X89000959

DIAGONALIZATION OF GL(N) INVARIANT TRANSFER MATRICES AND QUANTUM N WAVE SYSTEM (LEE MODEL)

- J.Phys.A 16 (1983) L591-L596,
- J. Phys. A16 ( 1983) L591-l596
•
DOI:
- 10.1088/0305-4470/16/16/001

Families of Commuting Transfer Matrices and Integrable Models With Disorder

H.J. de Vega
(
- Paris U., VI-VII
)

- Nucl.Phys.B 240 (1984) 495-513
•
DOI:
- 10.1016/0550-3213(84)90240-2

Quantum inverse problem method. I

- Theor.Math.Phys. 40 (1979) 2, 688-706,
- Teor.Mat.Fiz. 40 (1979) 194-220
•
DOI:
- 10.1007/BF01018718

Current Algebra and Wess-Zumino Model in Two-Dimensions

V.G. Knizhnik
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 247 (1984) 83-103,
- Also in *Goddard, P. (ed.), Olive, D. (ed.): Kac-Moody and Virasoro algebras* 501-521, and in *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 76-96,
•
DOI:
- 10.1016/0550-3213(84)90374-2

Short Distance Structure of Hadrons in Supersymmetric {QCD}

C. Kounnas
(
- CERN
)
,
D.A. Ross
(
- Southampton U.
)

- Nucl.Phys.B 214 (1983) 317-349
•
DOI:
- 10.1016/0550-3213(83)90665-X

One-dimensional anisotropic Heisenberg chain

R.J. Baxter
(
- Australian Natl. U., Canberra
)

- Annals Phys. 70 (1972) 323-337
•
DOI:
- 10.1016/0003-4916(72)90270-9

- Phys.Rev.Lett. 46 1955

- Funct.Anal.Appl. 16 159

- J.Phys.(France) 37 1087

- J.Math.Soc.Jap. 39 191

- Funct.Anal.Appl. 21 19

The Four Point Correlations of All Primary Operators of the $d=2$ Conformally Invariant SU(2) $\sigma$ Model With {Wess-Zumino} Term

P. Christe
(
- Bonn U.
)
,
R. Flume
(
- Bonn U.
)

- Nucl.Phys.B 282 (1987) 466
•
DOI:
- 10.1016/0550-3213(87)90693-6

Hypergeometric solutions of Knizhnik-Zamolodchikov equations

- Lett.Math.Phys. 20 (1990) 279-283
•
DOI:
- 10.1007/BF00626523

- Invent.Math. 106 139

An Application of {Aomoto-Gelfand} Hypergeometric Functions to the SU( $n$ ) {Knizhnik-Zamolodchikov} Equation

Atsushi Matsuo
(
- Kyoto U., RIMS
)

- Commun.Math.Phys. 134 (1990) 65-78
•
DOI:
- 10.1007/BF02102089

- Sov.J.Nucl.Phys. 43 1031

- Commun.Math.Phys. 151 263

- Lett.Math.Phys. 26 153