BOSONIC CONSTRUCTION OF VERTEX OPERATOR PAR-ALGEBRAS FROM SYMPLECTIC AFFINE KAC-MOODY ALGEBRAS by Michael David Weiner ( 9780821808665 )

Item Details

Title:

BOSONIC CONSTRUCTION OF VERTEX OPERATOR PAR-ALGEBRAS FROM SYMPLECTIC AFFINE KAC-MOODY ALGEBRAS

By:

Michael David Weiner

Format:

Paperback

List price:

£45.95

Our price:

£44.57

Discount:

3% off

You save:

£1.38

ISBN 10:

0821808664

ISBN 13:

9780821808665

Availability:

Publisher out of stock. This item may be subject to delays or cancellation.

Delivery rates

Stock:

Currently 0 available

Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

1 January, 1998

Edition:

821st edition

Series:

Memoirs of the American Mathematical Society No. 644

Pages:

106

Description:

Feingold, Frenkel, and Ries defined a structure, called a vertex operator para-algebra, where a VOA, its modules and their intertwining operators are unified. For each $n \geq 1$, this book uses the bosonic construction (from Weyl algebra) of four level $-1/2$ irreducible representations of the symplectic affine Kac-Moody Lie algebra $C_n^{(1)}$.

Synopsis:

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 $n \geq 1$.

Publication:

Imprint:

American Mathematical Society

Returns:

Returnable