Moonshine beyond the Monster - Terry Gannon

Moonshine beyond the Monster

The Bridge Connecting Algebra, Modular Forms and Physics

(Autor)

Buch | Softcover
492 Seiten
2023
Cambridge University Press (Verlag)
978-1-009-40155-5 (ISBN)
46,10 inkl. MwSt
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.
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.

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.

Erscheinungsdatum
Reihe/Serie Cambridge Monographs on Mathematical Physics
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 178 x 254 mm
Gewicht 910 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Naturwissenschaften Physik / Astronomie
ISBN-10 1-009-40155-6 / 1009401556
ISBN-13 978-1-009-40155-5 / 9781009401555
Zustand Neuware
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