Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics

Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics

by Terry Gannon
     
 

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ISBN-10: 0521835313

ISBN-13: 9780521835312

Pub. Date: 09/30/2006

Publisher: Cambridge University Press

Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster, the first book of its kind, describes the general theory of Moonshine

Overview

Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster, the first book of its kind, describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between modern mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry, and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.

Product Details

ISBN-13:
9780521835312
Publisher:
Cambridge University Press
Publication date:
09/30/2006
Series:
Cambridge Monographs on Mathematical Physics Series
Pages:
492
Product dimensions:
7.01(w) x 10.00(h) x 1.06(d)

Table of Contents

Acknowledgements; Introduction: glimpses of the theory beneath Monstrous moonshine; 1. Classical algebra; 2. Modular stuff; 3. Gold and brass: affine algebras and generalisations; 4. Conformal field theory: The physics of Moonshine; 5. Vertex operator algebras; 6. Modular group representations throughout the realm; 7. Monstrous Moonshine; Epilogue; Notation; References; Index.

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