Moonshine beyond the Monster

ISBN-13: 9781009401586 / Twarda / 2023 / 492 str.

Terry (University of Alberta) Gannon

Opis

This book describes the general theory of Moonshine and its underlying concepts. It is ideal for graduate students and researchers in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. This 2006 title has been reissued as an Open Access publication on Cambridge Core.

Spis treści

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.