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  3. Moonshine beyond the Monster
  • Cited by 56
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2009
      September 2006
      ISBN:
      9780511535116
      DOI:
      https://doi.org/10.1017/CBO9780511535116
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      • Subjects:
      Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
      Series:
      Cambridge Monographs on Mathematical Physics
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    Subjects:
    Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Monographs on Mathematical Physics
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    Book description

    This book was originally published in 2006. 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 over a hundred 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.

    Reviews

    Review of the hardback:'Gannon wants to explain to us 'what is really going on'. His book is like a conversation at the blackboard, with ideas being explained in informal terms, proofs being sketched, and unknowns being explored. Given the complexity and breadth of this material, this is exactly the right approach. … The result is informal, inviting, and fascinating.'

    Source: MAA Reviews

    Review of the hardback:'I personally feel that one-volume introductions to subjects of major mathematical interest and importance are invaluable, as collecting information from a variety of scattered sources and arranging it in an accessible way is a great service to those new to the field. This book does this very successfully and is a helpful contribution to the literature.'

    Source: Mathematics Today

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