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Titlebook: Vertex Operators in Mathematics and Physics; Proceedings of a Con J. Lepowsky,S. Mandelstam,I. M. Singer Conference proceedings 1985 Spring

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發(fā)表于 2025-3-21 19:06:50 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Vertex Operators in Mathematics and Physics
副標(biāo)題Proceedings of a Con
編輯J. Lepowsky,S. Mandelstam,I. M. Singer
視頻videohttp://file.papertrans.cn/983/982356/982356.mp4
叢書名稱Mathematical Sciences Research Institute Publications
圖書封面Titlebook: Vertex Operators in Mathematics and Physics; Proceedings of a Con J. Lepowsky,S. Mandelstam,I. M. Singer Conference proceedings 1985 Spring
描述James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development
出版日期Conference proceedings 1985
關(guān)鍵詞Lie algebra; Operator (Math; ); Operators; Physics; Scheitel (Math; )
版次1
doihttps://doi.org/10.1007/978-1-4613-9550-8
isbn_softcover978-1-4613-9552-2
isbn_ebook978-1-4613-9550-8Series ISSN 0940-4740
issn_series 0940-4740
copyrightSpringer Science+Business Media New York 1985
The information of publication is updating

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Monodromy, Solitons and Infinite Dimensional Lie Algebras cover an outline of the development that might be of some interest to the people working in vertex operators and related areas. Some more details can be found in several review articles [1], [2] as well as in the original papers [3], [4].
板凳
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The Riemann-Hilbert Decomposition and the KP Hierarchy which is holomorphic and invertible on C, find the decomposition of H(ζ) into a product of matrix functions, X.(ζ) . where X.(ζ) (resp. X.(ζ)) is holomorphic and invertible in the inner (resp. outer) domain of C.”
地板
發(fā)表于 2025-3-22 05:57:05 | 只看該作者
Massive Kaluza-Klein Theories and Bound States in Yang-Mills the most fundamental use of symmetry transformations in quantum field theory is that the particle spectrum, the physical states of the system, usually form linear multiplets, i.e. carry a representation of the global invariance group.
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Introduction to String Models and Vertex OperatorsMy aim in this talk is to give a very brief and qualitative outline of string models (or dual-resonance models) and to indicate how vertex operators appear in such models. The basic idea is that the fundamental objects of the theory instead of being point-like, as they are in most other theories, are string-like..
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發(fā)表于 2025-3-22 13:59:00 | 只看該作者
An Introduction to Polyakov’s String ModelThis talk is an introduction to Polyakov’s string model. The objective is to demonstrate how the Liouville field theory enters into the string model. Thorn Curtright will discuss the quantum Liouville theory in the next talk.
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