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

Autor Terry Gannon
en Limba Engleză Paperback – 26 iul 2023
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.
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Specificații

ISBN-13: 9781009401555
ISBN-10: 1009401556
Pagini: 492
Dimensiuni: 254 x 177 x 30 mm
Greutate: 0.84 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Monographs on Mathematical Physics

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

Describes the general theory of Moonshine and its underlying concepts for graduate students and researchers; now reissued as Open Access.