Vol. 258, No. 2, 2012

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Classification of Ising vectors in the vertex operator algebra V L+

Hiroki Shimakura

Vol. 258 (2012), No. 2, 487–495
Abstract

Let L be an even lattice without roots. In this article, we classify all Ising vectors in the vertex operator algebra V L+ associated with L.

Keywords
vertex operator algebra, lattice vertex operator algebra, Ising vector
Mathematical Subject Classification 2010
Primary: 17B69
Milestones
Received: 2 October 2011
Revised: 23 February 2012
Accepted: 27 February 2012
Published: 1 August 2012
Authors
Hiroki Shimakura
Graduate School of Information Sciences
Tohoku University
Aramaki aza Aoba 6-3-09, Aoba-ku
Sendai-city 980-8579
Japan