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Lattice W-N algebra and its quantization
被引:14
作者
:
Hikami, K
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Physics, Graduate School of Science, University of Tokyo, Tokyo 113, Hongo 7-3-1, Bunkyo
Hikami, K
机构
:
[1]
Department of Physics, Graduate School of Science, University of Tokyo, Tokyo 113, Hongo 7-3-1, Bunkyo
来源
:
NUCLEAR PHYSICS B
|
1997年
/ 505卷
/ 03期
关键词
:
lattice Virasoro algebra;
lattice W-N algebra;
Volterra model;
KdV equation;
Boussinesq equation;
integrability;
Yang-Baxter equation;
Z(N) symmetry;
discretization;
D O I
:
10.1016/S0550-3213(97)00578-6
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
:
We consider the integrable structure of the quantum lattice W-N algebras. We introduce the ultralocal Lax matrix, and show that the Yang-Baxter relation is satisfied with a Z(N) invariant R-matrix. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:749 / 770
页数:22
相关论文
共 33 条
[1]
The embedding structure and the shift operator of the U(1) lattice current algebra
[J].
Alekseev, AY
论文数:
0
引用数:
0
h-index:
0
机构:
Inst. für Theoretische Physik, ETH-Hönggerberg
Alekseev, AY
;
Recknagel, A
论文数:
0
引用数:
0
h-index:
0
机构:
Inst. für Theoretische Physik, ETH-Hönggerberg
Recknagel, A
.
LETTERS IN MATHEMATICAL PHYSICS,
1996,
37
(01)
:15
-27
[2]
ANTONOV AV, 1995, HEPTH9505155
[3]
Quantum W-N algebras and Macdonald polynomials
[J].
Awata, H
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
Awata, H
;
Kubo, H
论文数:
0
引用数:
0
h-index:
0
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UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
Kubo, H
;
Odake, S
论文数:
0
引用数:
0
h-index:
0
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UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
Odake, S
;
Shiraishi, J
论文数:
0
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0
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0
机构:
UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
Shiraishi, J
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1996,
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:401
-415
[4]
EXCHANGE ALGEBRA AND THE DRINFELD-SOKOLOV THEOREM
[J].
BABELON, O
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0
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0
h-index:
0
机构:
SCUOLA INT SUPER STUDI AVANZATI,SISSA,I-34014 TRIESTE,ITALY
BABELON, O
;
TOPPAN, F
论文数:
0
引用数:
0
h-index:
0
机构:
SCUOLA INT SUPER STUDI AVANZATI,SISSA,I-34014 TRIESTE,ITALY
TOPPAN, F
;
BONORA, L
论文数:
0
引用数:
0
h-index:
0
机构:
SCUOLA INT SUPER STUDI AVANZATI,SISSA,I-34014 TRIESTE,ITALY
BONORA, L
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1991,
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:93
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[5]
QUANTUM TODA THEORY
[J].
BABELON, O
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0
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0
h-index:
0
机构:
Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie, F-75252 Paris Cedex 05, Tour 16, ler etage
BABELON, O
;
BONORA, L
论文数:
0
引用数:
0
h-index:
0
机构:
Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie, F-75252 Paris Cedex 05, Tour 16, ler etage
BONORA, L
.
PHYSICS LETTERS B,
1991,
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[6]
EXCHANGE FORMULA AND LATTICE DEFORMATION OF THE VIRASORO ALGEBRA
[J].
BABELON, O
论文数:
0
引用数:
0
h-index:
0
机构:
Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie, F-75252 Paris Cedex 05, Tour 16, ler etage
BABELON, O
.
PHYSICS LETTERS B,
1990,
238
(2-4)
:234
-238
[7]
INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY
[J].
BELAVIN, AA
论文数:
0
引用数:
0
h-index:
0
BELAVIN, AA
;
POLYAKOV, AM
论文数:
0
引用数:
0
h-index:
0
POLYAKOV, AM
;
ZAMOLODCHIKOV, AB
论文数:
0
引用数:
0
h-index:
0
ZAMOLODCHIKOV, AB
.
NUCLEAR PHYSICS B,
1984,
241
(02)
:333
-380
[8]
LATTICE ANALOGS OF W-ALGEBRAS AND CLASSICAL INTEGRABLE EQUATIONS
[J].
BELOV, AA
论文数:
0
引用数:
0
h-index:
0
机构:
LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
BELOV, AA
;
CHALTIKIAN, KD
论文数:
0
引用数:
0
h-index:
0
机构:
LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
CHALTIKIAN, KD
.
PHYSICS LETTERS B,
1993,
309
(3-4)
:268
-274
[9]
LATTICE ANALOG OF THE W-INFINITY ALGEBRA AND DISCRETE KP-HIERARCHY
[J].
BELOV, AA
论文数:
0
引用数:
0
h-index:
0
机构:
LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA
LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA
BELOV, AA
;
CHALTIKIAN, KD
论文数:
0
引用数:
0
h-index:
0
机构:
LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA
LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA
CHALTIKIAN, KD
.
PHYSICS LETTERS B,
1993,
317
(1-2)
:64
-72
[10]
SYSTEMATIC-APPROACH TO CONFORMAL SYSTEMS WITH EXTENDED VIRASORO SYMMETRIES
[J].
BILAL, A
论文数:
0
引用数:
0
h-index:
0
BILAL, A
;
GERVAIS, JL
论文数:
0
引用数:
0
h-index:
0
GERVAIS, JL
.
PHYSICS LETTERS B,
1988,
206
(03)
:412
-420
←
1
2
3
4
→
共 33 条
[1]
The embedding structure and the shift operator of the U(1) lattice current algebra
[J].
Alekseev, AY
论文数:
0
引用数:
0
h-index:
0
机构:
Inst. für Theoretische Physik, ETH-Hönggerberg
Alekseev, AY
;
Recknagel, A
论文数:
0
引用数:
0
h-index:
0
机构:
Inst. für Theoretische Physik, ETH-Hönggerberg
Recknagel, A
.
LETTERS IN MATHEMATICAL PHYSICS,
1996,
37
(01)
:15
-27
[2]
ANTONOV AV, 1995, HEPTH9505155
[3]
Quantum W-N algebras and Macdonald polynomials
[J].
Awata, H
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
Awata, H
;
Kubo, H
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
Kubo, H
;
Odake, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
Odake, S
;
Shiraishi, J
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV TOKYO,FAC SCI,DEPT PHYS,TOKYO 113,JAPAN
Shiraishi, J
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1996,
179
(02)
:401
-415
[4]
EXCHANGE ALGEBRA AND THE DRINFELD-SOKOLOV THEOREM
[J].
BABELON, O
论文数:
0
引用数:
0
h-index:
0
机构:
SCUOLA INT SUPER STUDI AVANZATI,SISSA,I-34014 TRIESTE,ITALY
BABELON, O
;
TOPPAN, F
论文数:
0
引用数:
0
h-index:
0
机构:
SCUOLA INT SUPER STUDI AVANZATI,SISSA,I-34014 TRIESTE,ITALY
TOPPAN, F
;
BONORA, L
论文数:
0
引用数:
0
h-index:
0
机构:
SCUOLA INT SUPER STUDI AVANZATI,SISSA,I-34014 TRIESTE,ITALY
BONORA, L
.
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1991,
140
(01)
:93
-117
[5]
QUANTUM TODA THEORY
[J].
BABELON, O
论文数:
0
引用数:
0
h-index:
0
机构:
Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie, F-75252 Paris Cedex 05, Tour 16, ler etage
BABELON, O
;
BONORA, L
论文数:
0
引用数:
0
h-index:
0
机构:
Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie, F-75252 Paris Cedex 05, Tour 16, ler etage
BONORA, L
.
PHYSICS LETTERS B,
1991,
253
(3-4)
:365
-372
[6]
EXCHANGE FORMULA AND LATTICE DEFORMATION OF THE VIRASORO ALGEBRA
[J].
BABELON, O
论文数:
0
引用数:
0
h-index:
0
机构:
Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie, F-75252 Paris Cedex 05, Tour 16, ler etage
BABELON, O
.
PHYSICS LETTERS B,
1990,
238
(2-4)
:234
-238
[7]
INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY
[J].
BELAVIN, AA
论文数:
0
引用数:
0
h-index:
0
BELAVIN, AA
;
POLYAKOV, AM
论文数:
0
引用数:
0
h-index:
0
POLYAKOV, AM
;
ZAMOLODCHIKOV, AB
论文数:
0
引用数:
0
h-index:
0
ZAMOLODCHIKOV, AB
.
NUCLEAR PHYSICS B,
1984,
241
(02)
:333
-380
[8]
LATTICE ANALOGS OF W-ALGEBRAS AND CLASSICAL INTEGRABLE EQUATIONS
[J].
BELOV, AA
论文数:
0
引用数:
0
h-index:
0
机构:
LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
BELOV, AA
;
CHALTIKIAN, KD
论文数:
0
引用数:
0
h-index:
0
机构:
LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
CHALTIKIAN, KD
.
PHYSICS LETTERS B,
1993,
309
(3-4)
:268
-274
[9]
LATTICE ANALOG OF THE W-INFINITY ALGEBRA AND DISCRETE KP-HIERARCHY
[J].
BELOV, AA
论文数:
0
引用数:
0
h-index:
0
机构:
LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA
LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA
BELOV, AA
;
CHALTIKIAN, KD
论文数:
0
引用数:
0
h-index:
0
机构:
LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA
LD LANDAU THEORET PHYS INST,MOSCOW 117940,RUSSIA
CHALTIKIAN, KD
.
PHYSICS LETTERS B,
1993,
317
(1-2)
:64
-72
[10]
SYSTEMATIC-APPROACH TO CONFORMAL SYSTEMS WITH EXTENDED VIRASORO SYMMETRIES
[J].
BILAL, A
论文数:
0
引用数:
0
h-index:
0
BILAL, A
;
GERVAIS, JL
论文数:
0
引用数:
0
h-index:
0
GERVAIS, JL
.
PHYSICS LETTERS B,
1988,
206
(03)
:412
-420
←
1
2
3
4
→