Moonshine - The First Quarter Century and Beyond

Moonshine - The First Quarter Century and Beyond

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qIn 1979, John Conway and Simon Norton's famous paper, 'Monstrous Moonshine', outlined the remarkable connection between the monster group M and the theory of modular functions. The search for an explanation of this phenomenon involved the development and application of diverse areas of mathematics, including (generalized) Kac-Moody algebras, vertex (operator) algebras, automorphic forms and elliptic cohomology, together with string and conformal field theory from theoretical physics. This volume consists of seventeen papers based on talks presented at a workshop held to mark the anniversary of 'Monstrous Moonshine'. Containing a mixture of expository and current research material, they illustrate its extensive impact and reflect the broad range of research activity that has stemmed from the Moonshine conjectures. Potential directions for future development are also discussedq--Provided by publisher.F-theory on elliptically fibered Calabi-Yau 3-folds In this section we explore the geometric setting of the F-theory side in Conjecture 4.2 intrinsically. We discuss how the ... The duality predicts the form of the elliptic fibration. For simplicity in thisanbsp;...

Title:Moonshine - The First Quarter Century and Beyond
Author:James Lepowsky, John McKay, Michael P. Tuite
Publisher:Cambridge University Press - 2010-06-03


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