Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-04-25
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, Amslatex
Scientific paper
We introduce the notion of ``local system of $\Bbb{Z}_{T}$-twisted vertex operators'' on a $\Bbb{Z}_{2}$-graded vector space $M$, generalizing the notion of local system of vertex operators [Li]. First, we prove that any local system of $\Bbb{Z}_{T}$-twisted vertex operators on $M$ has a vertex superalgebra structure with an automorphism $\sigma$ of order $T$ with $M$ as a $\sigma$-twisted module. Then we prove that for a vertex (operator) superalgebra $V$ with an automorphism $\sigma$ of order $T$, giving a $\sigma$-twisted $V$-module $M$ is equivalent to giving a vertex (operator) superalgebra homomorphism from $V$ to some local system of $\Bbb{Z}_{T}$-twisted vertex operators on $M$. As applications, we study the twisted modules for vertex operator (super)algebras associated to some well-known infinite-dimensional Lie (super)algebras and we prove the complete reducibility of $\Bbb{Z}_{T}$-twisted modules for vertex operator algebras associated to standard modules for an affine Lie algebra.
No associations
LandOfFree
Local systems of twisted vertex operators, vertex operator superalgebras and twisted modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Local systems of twisted vertex operators, vertex operator superalgebras and twisted modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local systems of twisted vertex operators, vertex operator superalgebras and twisted modules will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-318034