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

• Main Author: Gannon, Terry (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: Cambridge University Press 2007
• Subjects: Nuclear physics; monstrous Moonshine; classical algebra; modular stuff; affine algebras; conformal field theory; the physics of Moonshine; vertex operator algebras; modular group representations
• Online Access: OAPEN Library: download the publication; OAPEN Library: description of the publication

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 describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between 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 more than 100 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.