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Wednesday, November 25, 2020 | History

2 edition of Vertex operator algebras in mathematics and physics found in the catalog.

Vertex operator algebras in mathematics and physics

Vertex operator algebras in mathematics and physics

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  • 16 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Vertex operator algebras -- Congresses,
  • Mathematical physics -- Congresses

  • Edition Notes

    Includes bibliographical references

    StatementStephen Berman ... [et al.], editors
    GenreCongresses
    SeriesFields Institute communications -- 39, Fields Institute communications -- v. 39
    ContributionsBerman, Stephen, 1944-, Vertex Operator Algebras inMathematics and Physics (2000 : Toronto)
    Classifications
    LC ClassificationsQA326 .V47 2003
    The Physical Object
    Paginationxii, 249 p. :
    Number of Pages249
    ID Numbers
    Open LibraryOL15442483M
    ISBN 100821828568
    LC Control Number2003062777


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Vertex operator algebras in mathematics and physics Download PDF EPUB FB2

Buy Vertex Operator Algebras in Mathematics and Physics (Fields Institute Communications) on FREE SHIPPING on qualified orders Vertex Operator Algebras in Mathematics and Physics (Fields Institute Communications): Berman, Stephen, Billig, Yuly, Huang, Yi-Zhi, Lepowsky, James: : BooksPrice: $ 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.

This book presents the proceedings from the workshop, Vertex Operator Algebras in Mathematics and Physics, held at The Fields Institute.

It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra.

Buy Vertex Operators in Mathematics and Physics 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.

Cited by: This book presents the proceedings from the workshop, "Vertex Operator Algebras in Mathematics and Physics", held at The Fields Institute. It consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra.

Vertex Operator Algebras in Mathematics and Physics by Stephen Berman,available at Book Depository with free delivery worldwide. to vertex operator algebras, and extension problems for vertex operator algebras are related to the associated modular braided tensor categories. Y.-Z.

Huang's paper discusses the relationship between Riemann surfaces with boundaries and the the-ory of vertex operator algebras, in connection with the definition of two-dimensional.

The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory.

This book presents the proceedings from the workshop, Vertex Operator Algebras in Mathematics and Physics, held at The Fields consists of papers based on many of the talks given at the conference by leading experts in the algebraic, geometric, and physical aspects of vertex operator algebra.

Vertex Operator Algebras and the Monster Edited by Igor Frenkel, James Lepowsky, Arne Meurman VolumePages (). Thereby, a new area was born, stressing beautifully the interplay between physics and mathematics. Originally, vertex operators arose in String Theory. They are used to describe certain types of interactions, between different particles or strings, localized at vertices – hence the name“vertex” – of the correspondingFeynman diagrams.

Particular emphasis is put on the axiomatic development of the theory and the construction theorems for vertex operator algebras and their modules. The book provides a detailed study of most basic families of vertex operator algebras and their representation Cited by: Vertex Operator Algebras, Number Theory and Related Topics About this Title.

Matthew Krauel, California State University, Sacramento, CA, Michael Tuite, National University of Ireland, Galway, Ireland and Gaywalee Yamskulna, Illinois State University, Normal, IL, Editors.

Publication: Contemporary Mathematics Publication Year: ; Volume This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics.

The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two. This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics.

The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two Price: $ The present book shows how this group arises as the symmetry group of a certain vertex-operator algebra.'One fact, however, is undeniable.

As the automorphism group of a distinguished conformal field theory, the Monster is fundamentally related to one of the most spectacular chapters of modern theoretical physics--string theroy.'5/5(1).

Vertex (operator) algebras are a fundamental class of algebraic structures that arose in mathematics and physics in the s.

Advanced Studies in Pure Mathematics: Volume 80 Operator Algebras and Mathematical Physics. This is a proceedings volume of an international conference "Operator Algebras and Mathematical Physics" held at Tohoku University in August, Conformal Field Theory and Vertex Operator Algebras (Ingo Runkel).

Vertex operator algebras and conformal field theory, International Journal of Modern Physics A 7 (), On axiomatic approaches to vertex operator algebras and Modules, with I.B. Frenkel and J. Lepowsky, Memoirs Amer. Math. Soc. No. (), American Mathematical Society, Providence, 64 pages.

The authors of the book are responsible for most of the early development of the theory of vertex operator algebras, and have chosen in this book to discuss it using the (formal) calculus of power series.5/5(1).

Vertex operator algebras can be viewed as "complex analogues" of both Lie algebras and associative algebras.

They are mathematically precise counterparts of what are known in physics as chiral algebras, and in particular, they are intimately related to string theory and conformal field theory. Vertex operator algebras and the Monster Igor Frenkel, James Lepowsky, Arne Meurman This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics.

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two Reviews: 1.

Table of Contents 1 Introduction.- 2 The setting.- 3 Relative untwisted vertex operators.- 4 Quotient vertex operators.- 5 A Jacobi identity for relative untwisted vertex operators.- 6 Generalized vertex operator algebras and their modules.- 7 Duality for generalized vertex operator algebras.- 8 Monodromy representations of braid groups.- 9 Generalized vertex algebras and duality.- 10 Tensor.

He has written a book on vertex operator algebras and elliptic genera. More recently, he is interested in topological quantum field theories and their applications. Vertex Operator Algebras. Chongying Dong and Geoffrey Mason work in the area of vertex operator algebras.

This area has its origins in two-dimensional conformal field theory. "Requiring only a familiarity with basic algebra, Introduction to Vertex Operator Algebras and Their Representations will be useful for graduate students and researchers in mathematics and physics.

The book's self-contained presentation of the core topics will equip readers to embark on many active research direction related to vertex operator. The book provides a detailed study of most basic families of vertex operator algebras and their representation theory. A number of new, original results are presented.

This excellent book is written in a self-contained manner with detailed proofs. It will be useful for graduate students and active researchers interested in the theory of.

School of Mathematics and Statistics of lattice vertex operator algebras as singular commutative algebras in a Thus, our story of vertex algebras begins in mathematical physics. Consider the Hilbert space of a quantum field theory, in which fields are modelled mathematically by.

Book Description: The deep and relatively new field of vertex operator algebras is intimately related to a variety of areas in mathematics and physics: for example, the concepts of "monstrous moonshine," infinite-dimensional Lie theory, string theory, and conformal field theory.

This book introduces the reader to the fundamental theory of. We call this the twisted vertex operator associated with α. The term “twisted” refers to the fact that it is based on the twisted affine algebra h ˜ [− 1].

(In Chapter 4, we shall build “untwisted” vertex operators starting from the untwisted affine algebra h ˜.) The term “vertex operator” comes from physics. The deep and relatively new field of vertex operator algebras is intimately related to a variety of areas in mathematics and physics: for example, the concepts of "monstrous moonshine," infinite-dimensional Lie theory, string theory, and conformal field theory.

In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string addition to physical applications, vertex operator algebras have proven useful in purely mathematical contexts such as monstrous moonshine and the geometric Langlands correspondence.

The related notion of vertex algebra was. The paper describes the theory of the toroidal Lie algebra, i.e. the Lie algebra of polynomial maps of a complex torus ℂ××ℂ× into a finite-dimensional simple Lie algebra g.

We describe the universal central extension t of this algebra and give an abstract presentation for it in terms of generators and relations involving the extended Cartan matrix of g.

Using this presentation and. We introduce certain correlation functions (graded q-traces) associated to vertex operator algebras and superalgebras which we refer to as n-point naturally arise in the studies of representations of Lie algebras of differential operators on the circle (J.

Lepowsky, to appear, J. Lepowsky, In: Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC. Get this from a library. Vertex Operator Algebras and the Monster. [Igor Frenkel; J Lepowsky; Arne Meurman] -- This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string.

Get this from a library. Vertex operator algebras and the Monster. [Igor Frenkel; J Lepowsky; Arne Meurman] -- This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string.

Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three-volume treatise provides a clear, carefully written survey that emphasizes the theory's analytical and topological aspects.

Author: A. Katavolos Publisher: Springer Science & Business Media ISBN: Size: MB Format: PDF, Mobi Category: Mathematics Languages: en Pages: View: Book Description: During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other.

- Buy Spinor Construction of Vertex Operator Algebras, Triality, and E (Contemporary Mathematics) book online at best prices in India on Read Spinor Construction of Vertex Operator Algebras, Triality, and E (Contemporary Mathematics) book reviews & author details and more at Free delivery on qualified : Alex J.

Feingold, Igor B. Frenkel, John F. Ries. Lie Algebras, Vertex Operator Algebras and Their Applications About this Title. Yi-Zhi Huang and Kailash C. Misra, Editors. Publication: Contemporary Mathematics Publication Year Volume ISBNs: (print); (online).

Let V be a simple vertex operator algebra satisfying the following conditions: (i) V (n) = 0 for n. Vertex Operator Algebras. Chongying Dong and Geoffrey Mason work in the area of vertex operator algebras. This area has its origins in two-dimensional conformal quantum field theory, and has had important applications to areas of mathematics as far a field as the theory of finite groups and the invariants of knots and of three-manifolds, as.two dimensional conformal geometry and vertex operator algebras progress in mathematics Posted By Eiji Yoshikawa Publishing TEXT ID c2bcf Online PDF Ebook Epub Library the exposition is clear and accessible the necessary background materialis explained in detail in three appendices and another appendix consists of answers to some.