Vertex Operator Algebras and the Monster, Volume 134
1st Edition
Secure Checkout
Personal information is secured with SSL technology.Free Shipping
Free global shippingNo minimum order.
Table of Contents
Lie Algebras. Formal Calculus: Introduction. Realizations of sl(2) by Twisted Vertex Operators. Realizations of sl(2) by Untwisted Vertex Operators. Central Extensions. The Simple Lie Algebras An, Dn, En. Vertex Operator Realizations of An, Dn, En. General Theory of Untwisted Vertex Operators. General Theory of Twisted Vertex Operators. The Moonshine Module. Triality. The Main Theorem. Completion of the Proof. Appendix: Complex Realization of Vertex Operator Algebras. Bibliography. Index of frequently used symbols. Index.
Description
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-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."
Readership
Research mathematicians, mathematical physicists, and graduate students.
Details
- No. of pages:
- 508
- Language:
- English
- Copyright:
- © Academic Press 1989
- Published:
- 28th March 1989
- Imprint:
- Academic Press
- Hardcover ISBN:
- 9780122670657
- eBook ISBN:
- 9780080874548
Reviews
@qu:This book is a detailed research monograph which contains the complete proofs of the authors' previously announced results. It is mostly self-contained and the exposition, given the technicalities involved, could not have been any better. It will be an asset to research mathematicians as well as physicists, and certainly deserves a place in every mathematics and physics library. @source:--MATHEMATICAL REVIEWS @qu: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.' @source:--N.J.A. SLoane, AT&T Laboratories quoted in AMERICAN SCIENTIST
Ratings and Reviews
About the Authors
Igor Frenkel
Affiliations and Expertise
Yale University, New Haven, Connecticut
James Lepowsky
Affiliations and Expertise
Rutgers University
Arne Meurman
Affiliations and Expertise
University of Stockholm
Request Quote
Tax Exemption
Elsevier.com visitor survey
We are always looking for ways to improve customer experience on Elsevier.com.
We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit.
If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.
Thanks in advance for your time.