THE (N,M)TH KORTEWEG-DEVRIES HIERARCHY AND THE ASSOCIATED W-ALGEBRA

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	THE (N,M)TH KORTEWEG-DEVRIES HIERARCHY AND THE ASSOCIATED W-ALGEBRA
	XIONG, CS; BONORA, L , SCUOLA INT SUPER STUDI AVANZATI,SISSA,VIA BEIRUT 2,I-34014 TRIESTE,ITALY.; BONORA, L
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	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
ISSN号	0022-2488
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.
学科主题	Physics
URL标识	查看原文
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/11833]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	BONORA, L , SCUOLA INT SUPER STUDI AVANZATI,SISSA,VIA BEIRUT 2,I-34014 TRIESTE,ITALY.
推荐引用方式 GB/T 7714	XIONG, CS,BONORA, L , SCUOLA INT SUPER STUDI AVANZATI,SISSA,VIA BEIRUT 2,I-34014 TRIESTE,ITALY.,BONORA, L. THE (N,M)TH KORTEWEG-DEVRIES HIERARCHY AND THE ASSOCIATED W-ALGEBRA[J]. JOURNAL OF MATHEMATICAL PHYSICS,1994,35(11):5781-5819.
APA	XIONG, CS,BONORA, L , SCUOLA INT SUPER STUDI AVANZATI,SISSA,VIA BEIRUT 2,I-34014 TRIESTE,ITALY.,&BONORA, L.(1994).THE (N,M)TH KORTEWEG-DEVRIES HIERARCHY AND THE ASSOCIATED W-ALGEBRA.JOURNAL OF MATHEMATICAL PHYSICS,35(11),5781-5819.
MLA	XIONG, CS,et al."THE (N,M)TH KORTEWEG-DEVRIES HIERARCHY AND THE ASSOCIATED W-ALGEBRA".JOURNAL OF MATHEMATICAL PHYSICS 35.11(1994):5781-5819.