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Conformal affine sl(2) toda field theory

O. Babelon
(
- Paris U., VI-VII
)
,
L. Bonora
(
- SISSA, Trieste and
- INFN, Trieste
)

Apr, 1990

7 pages

Published in:

Phys.Lett.B 244 (1990) 220-226

Published: 1990

DOI:

10.1016/0370-2693(90)90059-F

Report number:

SISSA-36-90-EP

View in:

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Abstract: (Elsevier)

We present a model based on the sl 2 affine algebra, which is integrable and conformally invariant. It reduces to the standard Liouville theory or to the sinh-Gordon model under certain limiting conditions. We find the general classical solution of this model and the exchange algebra.

field theory: Toda
field theory: conformal
field theory: affine
algebra: SL(2)
dimension: 2
integrability
exchange: algebra
algebra: exchange
tensor: energy-momentum

References(19)

Figures(0)

Novel Triangle Relation and Absence of Tachyons in Liouville String Field Theory

Jean-Loup Gervais
(
- Ecole Normale Superieure
)
,
A. Neveu
(
- CERN
)

- Nucl.Phys.B 238 (1984) 125-141
•
DOI:
- 10.1016/0550-3213(84)90469-3

- Phys.Lett.B 246 166

- Theor.Math.Phys. 40 194

Two-Dimensional Generalized Toda Lattice

- Commun.Math.Phys. 79 (1981) 473
•
DOI:
- 10.1007/BF01209308

Lie algebras and equations of Korteweg-de Vries type

V.G. Drinfeld
(
- Ufa, Math. Inst.
)
,
V.V. Sokolov
(
- Ufa, Math. Inst.
)

- J.Sov.Math. 30 (1984) 1975-2036,
- Also in *Bouwknegt, P. (ed.), Schoutens, K. (ed.): W-symmetry* 25-86
•
DOI:
- 10.1007/BF02105860

Solution of the Initial Value Problem for the {Sine-Gordon} Equation Using a Kac-moody Algebra

Paul Mansfield
(
- Cambridge U.
)

- Commun.Math.Phys. 98 (1985) 525
•
DOI:
- 10.1007/BF01209328

Local Conserved Densities and Zero Curvature Conditions for Toda Lattice Field Theories

David I. Olive
(
- Imperial Coll., London
)
,
N. Turok
(
- UC, Santa Barbara
)

- Nucl.Phys.B 257 (1985) 277-301
•
DOI:
- 10.1016/0550-3213(85)90347-5

THE TODA LATTICE FIELD THEORY HIERARCHIES AND ZERO CURVATURE CONDITIONS IN KAC-MOODY ALGEBRAS

David I. Olive
(
- Imperial Coll., London
)
,
N. Turok
(
- UC, Santa Barbara
)

- Nucl.Phys.B 265 (1986) 469-484
•
DOI:
- 10.1016/0550-3213(86)90169-0

The Models of Two-Dimensional Conformal Quantum Field Theory with Z(n) Symmetry

V.A. Fateev
(
- ICTP, Trieste
)
,
Sergei L. Lukyanov
(
- Landau Inst.
)

- Int.J.Mod.Phys.A 3 (1988) 507,
•
DOI:
- 10.1142/S0217751X88000205

Exact Quantization of the Sinh-gordon Model

E.K. Sklyanin
(
- Freiburg U.
)

- Nucl.Phys.B 326 (1989) 719-736
•
DOI:
- 10.1016/0550-3213(89)90552-X

Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory

A.B. Zamolodchikov
(
- Moscow, ITEP
)

- JETP Lett. 43 (1986) 730-732,
- Pisma Zh.Eksp.Teor.Fiz. 43 (1986) 565-567

Higher Order Integrals of Motion in Two-Dimensional Models of the Field Theory with a Broken Conformal Symmetry

A.B. Zamolodchikov
(
- Moscow, ITEP
)

- JETP Lett. 46 (1987) 160-164,
- Pisma Zh.Eksp.Teor.Fiz. 46 (1987) 129-132

Integrals of Motion and S Matrix of the (Scaled) T=T(c) Ising Model with Magnetic Field

A.B. Zamolodchikov
(
- Rutherford
)

- Int.J.Mod.Phys.A 4 (1989) 4235
•
DOI:
- 10.1142/S0217751X8900176X

Deformations of Conformal Field Theories and Soliton Equations

Tohru Eguchi
(
- Tokyo U.
)
,
Sung-Kil Yang
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Phys.Lett.B 224 (1989) 373-378
•
DOI:
- 10.1016/0370-2693(89)91463-9

- Phys.Lett.B 227 441

Bootstrap Fusions and Tricritical Potts Model Away From Criticality

Galen Sotkov
(
- SISSA, Trieste
)
,
Chuan-Jie Zhu
(
- SISSA, Trieste
)

- Phys.Lett.B 229 (1989) 391-397
•
DOI:
- 10.1016/0370-2693(89)90425-5

Representation of zero curvature for the system of nonlinear partial differential equations chi(alpha, z anti-z) = ((kappa chi)(alpha)) and its integrability

A.N. Leznov
(
- Serpukhov, IHEP
)
,
M.V. Saveliev
(
- Serpukhov, IHEP
)

- Lett.Math.Phys. 3 (1979) 489-494
•
DOI:
- 10.1007/BF00401930

Extended Conformal Algebra and Yang-Baxter Equation

O. Babelon
(
- Paris U., VI-VII
)

- Phys.Lett.B 215 (1988) 523-529
•
DOI:
- 10.1016/0370-2693(88)91353-6

Classical Exchange Algebras in the {Wess-Zumino}-witten Model

B. Blok
(
- Tel Aviv U.
)

- Phys.Lett.B 233 (1989) 359-362
•
DOI:
- 10.1016/0370-2693(89)91323-3