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Browsing Mathematics (Scholarly Articles) by Title

Now showing items 65-69 of 69

Vertex Operators and Modular Forms

Mason, Geoffrey; Tuite, Michael P. (2009)

The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite ...
The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Tuite, Michael P. (2006)

We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series ...
Virasoro Correlation Functions for Vertex Operator Algebras

Hurley, Donny; Tuite, Michael P. (2011)

We consider all genus zero and genus one correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially ...
A wave near the edge of a circular disk

Destrade, Michel (2008)

It is shown that in the Love-Kirchhoff plate theory, an edge wave can travel in a circular thin disk made of an isotropic elastic material. This disk edge wave turns out to be faster than the classic flexural acoustic wave ...
Weierstrass's criterion and compact solitary waves

Destrade, Michel (American Physical Society, 2007-04-17)

Weierstrass's theory is a standard qualitative tool for single degree of freedom equations, used in classical mechanics and in many textbooks. In this Brief Report we show how a simple generalization of this tool makes it ...