Brief Review: Terry Gannon 'Moonshine Beyond the Monster'

  • Thread starter Dcase
  • Start date
  • Tags
    Review
In summary, the conversation discusses a link to the Terry Gannon ArXiv paper 'Monstrous Moonshine: the first 25 years' found on the 'Never Ending Book' site. The paper is a survey of 33 pages with 124 references, which serves as the framework for Gannon's book 'Moonshine Beyond the Monster' which has 477 pages and 575 references. The paper discusses the relationship between modular forms, E8, the Leech Lattice, and the Monster and VOA for the complex-24D. It also touches upon the Borcherds-Kac-Moody algebras and the concept of imaginary time for D26, but does not mention the string-25D. G
  • #1
Dcase
121
0
While perusing the 'Never Ending Book' Site, I came across this link to the Terry Gannon ArXiv paper 'Monstrous Moonshine: the first 25 years'.
http://www.arxiv.org/PS_cache/math/pdf/0402/0402345.pdf

Lieven le Bruyn refers to this as a survey paper [33 pages with 124 references].
It appears to form the framework of the Gannon book, ‘Moonshine Beyond the Monster’ [477 pages, 575 references].

Gannon comprises a masterful effort relating modular forms, E8 and the Leech Lattice to the Monster and VOA for the complex-24D.

He explains the Cartan-like structure of Borcherds-Kac-Moody algebras.

He touches upon the concept of imaginary time for D26.

He does not appear to discuss the string-25D.

He relates Mathieu groups and the bi-monster as "mini-monster" and "maxi-monster", respectively, but does not address their apparent relation to Golay codes.
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
Dcase said:
While perusing the 'Never Ending Book' Site, I came across this link to the Terry Gannon ArXiv paper 'Monstrous Moonshine: the first 25 years'.
http://www.arxiv.org/PS_cache/math/pdf/0402/0402345.pdf

A very nice find! Thanks. The paper and the references therein are very helpful.
 
Last edited by a moderator:
  • #3
Dcase said:
Terry Gannon ArXiv paper 'Monstrous Moonshine: the first 25 years'.
http://www.arxiv.org/PS_cache/math/pdf/0402/0402345.pdf

Yeah, thanks, Dcase! Fantastic review. Somehow he manages to put

[tex]196 884 = 196 883 + 1[/tex]

on the second line. And over 6 pages of references!

:smile:
 
Last edited by a moderator:

FAQ: Brief Review: Terry Gannon 'Moonshine Beyond the Monster'

What is "Brief Review: Terry Gannon 'Moonshine Beyond the Monster'"?

"Brief Review: Terry Gannon 'Moonshine Beyond the Monster'" is a scientific paper that reviews the book "Moonshine Beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics" written by Terry Gannon. The paper discusses the main ideas and contributions of the book and evaluates its impact on the field of mathematics.

Who is Terry Gannon?

Terry Gannon is a mathematics professor at the University of Alberta in Canada. He is known for his research in the field of moonshine, which is the study of connections between finite groups and modular forms. He is the author of several books and has made significant contributions to the understanding of moonshine and its applications in mathematics and physics.

What is moonshine in mathematics?

Moonshine in mathematics refers to the mysterious connections between finite groups and modular forms. It was first discovered in the late 1970s by mathematicians John Conway and Simon Norton. Moonshine has since been a subject of intense study and has led to many important discoveries and developments in mathematics and physics.

What are the main ideas discussed in "Moonshine Beyond the Monster"?

"Moonshine Beyond the Monster" explores the connections between moonshine, algebra, modular forms, and physics. It discusses the history of moonshine and its various manifestations, as well as the mathematical concepts and techniques used to study it. The book also delves into the applications of moonshine in other areas of mathematics and physics, such as string theory and quantum field theory.

What impact does "Moonshine Beyond the Monster" have on the field of mathematics?

"Moonshine Beyond the Monster" has had a significant impact on the field of mathematics, particularly in the study of moonshine and its connections to other areas of mathematics and physics. The book has been praised for its clear and comprehensive explanation of complex concepts, and has been cited by many researchers in their own work. It has also helped to generate new ideas and developments in the field, making it an important contribution to the study of moonshine and its applications.

Similar threads

Back
Top