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Moonshine beyond the Monster

Moonshine beyond the Monster

Moonshine beyond the Monster

The Bridge Connecting Algebra, Modular Forms and Physics
Terry Gannon, University of Alberta
July 2023
Hardback
9781009401586
£110.00
GBP
Hardback
GBP
Paperback

    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. Originally published in 2006, this title has been reissued as an Open Access publication on Cambridge Core.

    • This was the first authored book on Moonshine and it will have wide appeal
    • A burgeoning research area, showing the connectedness of a variety of topics
    • Written in a clear and pedagogical style, emphasising the fundamental ideas and interesting examples
    • Reissued as an Open Access title on Cambridge Core

    Product details

    July 2023
    Hardback
    9781009401586
    492 pages
    254 × 178 × 27 mm
    1.162kg
    Available

    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.