Logarithmic intertwining operators and vertex operators

Simple item page
dc.creatorMilas, Antun
dc.date2006-09-11
dc.date2007-07-12
dc.date.accessioned2026-07-07T11:07:21Z
dc.date.available2026-07-07T11:07:21Z
dc.descriptionThis is the first in a series of papers where we study logarithmic intertwining operators for various vertex subalgebras of Heisenberg vertex operator algebras. In this paper we examine logarithmic intertwining operators associated with rank one Heisenberg vertex operator algebra $M(1)_a$, of central charge $1-12a^2$. We classify these operators in terms of {\em depth} and provide explicit constructions in all cases. Furthermore, for $a=0$ we focus on the vertex operator subalgebra L(1,0) of $M(1)_0$ and obtain logarithmic intertwining operators among indecomposable Virasoro algebra modules. In particular, we construct explicitly a family of {\em hidden} logarithmic intertwining operators, i.e., those that operate among two ordinary and one genuine logarithmic L(1,0)-module.
dc.description32 pages. To appear in CMP
dc.identifierhttps://arxiv.org/abs/math/0609306
dc.identifierhttp://arxiv.org/abs/math/0609306
dc.identifierCommun.Math.Phys.277:497-529,2008
dc.identifierdoi:10.1007/s00220-007-0375-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189818
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleLogarithmic intertwining operators and vertex operators
dc.typetext

Files

Collections

arXiv