Extensions Of The Jacobi Identity For Vertex Operators And Standard A Modules

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Extensions Of The Jacobi Identity For Vertex Operators And Standard A 1 1 Modules

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Author : Cristiano Husu
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Extensions Of The Jacobi Identity For Vertex Operators And Standard A 1 1 Modules written by Cristiano Husu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

The main axiom for a vertex operator algebra (over a field of characteristic zero), the Jacobi identity, is extended to multi-operator identities. Then relative [bold capital]Z2-twisted vertex operators are introduced and a Jacobi identity for these operators is established. Then these ideas are used to interpret and recover the twisted [bold capital]Z-operators and corresponding generating function identities developed by Lepowsky and R. L. Wilson. This work is closely related to the twisted parafermion algebra constructed by Zamolodchikov-Fateev.

Extensions Of The Jacobi Identity For Vertex Operators And Standard A Modules

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Author : Cristiano Husu
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-08-31

Extensions Of The Jacobi Identity For Vertex Operators And Standard A Modules written by Cristiano Husu and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-31 with MATHEMATICS categories.

This work extends the Jacobi identity, the main axiom for a vertex operator algebra, to multi-operator identities. Based on constructions of Dong and Lepowsky, relative Z [2 -twisted vertex operators are then introduced, and a Jacobi identity for these operators is established. Husu uses these ideas to interpret and recover the twisted Z -operators and corresponding generating function identities developed by Lepowsky and Wilson for the construction of the standard A [1 ](1) -modules. The point of view of the Jacobi identity also shows the equivalence between these twisted Z-operator algebras and the (twisted) parafermion algebras constructed by Zamolodchikov and Fadeev. The Lepowsky-Wilson generating function identities correspond to the identities involved in the construction of a basis for the space of C-disorder fields of such parafermion algebras.

Introduction To Vertex Operator Algebras And Their Representations

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Author : James Lepowsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introduction To Vertex Operator Algebras And Their Representations written by James Lepowsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications. * Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.

Lie Algebras Vertex Operator Algebras And Their Applications

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Author : Yi-Zhi Huang
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Lie Algebras Vertex Operator Algebras And Their Applications written by Yi-Zhi Huang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.

Introduction To Vertex Operator Superalgebras And Their Modules

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Author : Xiaoping Xu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Introduction To Vertex Operator Superalgebras And Their Modules written by Xiaoping Xu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

This book presents a systematic study on the structures of vertex operator superalgebras and their modules. Related theories of self-dual codes and lattices are included, as well as recent achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules, constructions of simple vertex operator superalgebras from graded associative algebras and their anti-involutions, self-dual codes and lattices. Audience: This book is of interest to researchers and graduate students in mathematics and mathematical physics.

Extensions Of The Jacobi Identity For Vertex Operators And Standard A 1 Modules Cristiano Husu

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Author : Cristiano Husu
language : en
Publisher:
Release Date : 1993

Extensions Of The Jacobi Identity For Vertex Operators And Standard A 1 Modules Cristiano Husu written by Cristiano Husu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Manifolds With Group Actions And Elliptic Operators

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Author : Vladimir I︠A︡kovlevich Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Manifolds With Group Actions And Elliptic Operators written by Vladimir I︠A︡kovlevich Lin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

This work studies equivariant linear second order elliptic operators [italic capital]P on a connected noncompact manifold [italic capital]X with a given action of a group [italic capital]G. The action is assumed to be cocompact, meaning that [italic capitals]GV = [italic capital]X for some compact subset of [italic capital]V of [italic capital]X. The aim is to study the structure of the convex cone of all positive solutions of [italic capital]P[italic]u = 0.

Generalized Vertex Algebras And Relative Vertex Operators

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Author : Chongying Dong
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Generalized Vertex Algebras And Relative Vertex Operators written by Chongying Dong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In the past few years, vertex operator algebra theory has been growing both in intrinsic interest and in the scope of its interconnections with areas of mathematics and physics. The structure and representation theory of vertex operator algebras is deeply related to such subjects as monstrous moonshine, conformal field theory and braid group theory. Vertex operator algebras are the mathematical counterpart of chiral algebras in conformal field theory. In the Introduction which follows, we sketch some of the main themes in the historical development and mathematical and physical motivations of these ideas, and some of the current issues. Given a vertex operator algebra, it is important to consider not only its modules (representations) but also intertwining operators among the mod ules. Matrix coefficients of compositions of these operators, corresponding to certain kinds of correlation functions in conformal field theory, lead natu rally to braid group representations. In the specialbut important case when these braid group representations are one-dimensional, one can combine the modules and intertwining operators with the algebra to form a structure satisfying axioms fairly close to those for a vertex operator algebra. These are the structures which form the main theme of this monograph. Another treatment of similar structures has been given by Feingold, Frenkel and Ries (see the reference [FFR] in the Bibliography), and in fact the material de veloped in the present work has close connections with much work of other people, as we explain in the Introduction and throughout the text.

C Algebra Extensions Of C X

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Author : Huaxin Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

C Algebra Extensions Of C X written by Huaxin Lin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

We show that the Weyl-von Neumann theorem for unitaries holds for [lowercase Greek]Sigma-unital [italic capital]A[italic capital]F-algebras and their multiplier algebras.

Pseudofunctors On Modules With Zero Dimensional Support

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Author : I-Chiau Huang
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Pseudofunctors On Modules With Zero Dimensional Support written by I-Chiau Huang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

Pseudofunctors with values on modules with zero dimensional support are constructed over the formally smooth category and residually finite category. Combining those pseudofunctors, a pseudofunctor over the category whose objects are Noetherian local rings and whose morphisms are local with finitely generated residue field extensions is constructed.