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题名: THE (N,M)TH KORTEWEG-DEVRIES HIERARCHY AND THE ASSOCIATED W-ALGEBRA
作者: BONORA, L ;  XIONG, CS
刊名: JOURNAL OF MATHEMATICAL PHYSICS
出版日期: 1994
卷号: 35, 期号:11, 页码:5781-5819
关键词: KP HIERARCHY ;  MULTIMATRIX MODELS ;  QUANTUM-GRAVITY ;  MATRIX MODELS ;  ONE DIMENSION ;  STRINGS ;  LIMIT ;  LESS
学科分类: Physics
通讯作者: BONORA, L , SCUOLA INT SUPER STUDI AVANZATI,SISSA,VIA BEIRUT 2,I-34014 TRIESTE,ITALY.
部门归属: INFN,TRIESTE,ITALY; UNIV BONN,INST PHYS,D-53115 BONN,GERMANY; ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
英文摘要: A differential integrable hierarchy, which is called the (N, M)th Korteweg-de Vries (KdV) hierarchy, whose Lax operator is obtained by properly adding M pseudo-differential terms to the Lax operator of the Nth KdV hierarchy is discussed herein. This new hierarchy contains both the higher KdV hierarchy and multifield representation of the Kadomtsev-Petviashvili (KP) hierarchy as subsystems and naturally appears in multimatrix models. The N + 2M -1 coordinates or fields of this hierarchy satisfy two algebras of compatible Poisson brackets which are local and polynomial. Each Poisson structure generates an extended W1 + infinity- and W(infinity)-algebras, respectively. W(N, M) is called the generating algebra of the extended W(infinity)-algebra. This algebra, which corresponds with the second Poisson structure, shares many features of the usual W(N)-algebra. It is shown that there exist M distinct reductions of the (N,M)th KdV hierarchy, which are obtained by imposing suitable second class constraints. The most drastic reduction corresponds to the (N + M)th KdV hierarchy. Correspondingly the W(N,M)-algebra is reduced to the W(N+M)-algebra. The dispersionless limit of this hierarchy and the relevant reductions are studied in detail.
收录类别: SCI
原文出处: 查看原文
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/11833
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Recommended Citation:
BONORA, L,XIONG, CS. THE (N,M)TH KORTEWEG-DEVRIES HIERARCHY AND THE ASSOCIATED W-ALGEBRA[J]. JOURNAL OF MATHEMATICAL PHYSICS,1994,35(11):5781-5819.
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