Moonshine beyond the monster : the bridge connecting algebra, modular forms and 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 descr...

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Bibliographic Details
Main Author:	Gannon, Terry
Corporate Author:	Cambridge University Press
Format:	eBook
Language:	English
Published:	Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023.
Series:	Cambridge monographs on mathematical physics.
Subjects:	Finite groups. Modular functions. Vertex operator algebras. Mathematical physics. Groupes finis. Fonctions modulaires. Algèbres d'opérateurs des sommets. Physique mathématique. Electronic books.
Online Access:	Connect to the full text of this electronic book

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.