Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics)

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9780521141888: Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics)

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.

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Book Description:

Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. This book describes the general theory of Moonshine and the underlying concepts, emphasising the interconnections between modern mathematics and mathematical physics. Written in a clear and pedagogical style, this book will be ideal for graduate students and researchers working in areas such as algebra, number theory, geometry, analysis, quantum field theory and conformal field theory.

About the Author:

Terry Gannon is Professor of Mathematics at the University of Alberta, Edmonton. He is currently also Research Fellow of Alexander von Humboldt Foundation, EPSRC.

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