Bosonic Construction of Vertex Operator Par-algebras from Symplectic Affine Kac-Moody Algebras Paperback / softback
by Michael David Weiner
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
Inspired by mathematical structures found by theoretical physicists and by the desire to understand the 'monstrous moonshine' of the Monster group, Borcherds, Frenkel, Lepowsky, and Meurman introduced the definition of vertex operator algebra (VOA).
An important part of the theory of VOAs concerns their modules and intertwining operators between modules.
Feingold, Frenkel, and Ries defined a structure, called a vertex operator para-algebra (VOPA), where a VOA, its modules and their intertwining operators are unified.In this work, for each $n \geq 1$, the author uses the bosonic construction (from a Weyl algebra) of four level $-1/2$ irreducible representations of the symplectic affine Kac-Moody Lie algebra $C_n^{(1)}$.
They define intertwining operators so that the direct sum of the four modules forms a VOPA.
This work includes the bosonic analog of the fermionic construction of a vertex operator superalgebra from the four level 1 irreducible modules of type $D_n^{(1)}$ given by Feingold, Frenkel, and Ries.
While they get only a VOPA when $n = 4$ using classical triality, the techniques in this work apply to any $n \geq 1$.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:106 pages
- Publisher:American Mathematical Society
- Publication Date:30/08/1998
- Category:
- ISBN:9780821808665
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:106 pages
- Publisher:American Mathematical Society
- Publication Date:30/08/1998
- Category:
- ISBN:9780821808665
