Article

# Classification of modules of the intermediate series over the twisted N=2 superconformal algebra

01/2009;
Source: arXiv

ABSTRACT In this paper, a classification of modules of the intermediate series over the twisted N=2 superconformal algebra is obtained.

0 0
·
0 Bookmarks
·
23 Views
• Source
##### Article:Twisted modules for N=2 supersymmetric vertex operator superalgebras arising from finite automorphisms of the N=2 Neveu-Schwarz algebra
[show abstract] [hide abstract]
ABSTRACT: Twisted modules for N=2 supersymmetric vertex operator superalgebras are classified for the vertex operator superalgebra automorphisms which are lifts of a finite automorphism of the N=2 Neveu-Schwarz Lie superalgebra representation. These include the Ramond-twisted sectors and mirror-twisted sectors for N=2 vertex operator superalgebras, as well as twisted modules related to more general "spectral flow" representations of the N=2 Neveu-Schwarz algebra. We present the construct of twisted modules for free N=2 vertex operator superalgebras for all of the N=2 Neveu-Schwarz Lie superalgebra automorphisms of finite order. We show how to extend these to lattice N=2 vertex operator superalgebras. As a consequence, we also construct the Ramond-twisted sectors for free and lattice N=1 supersymmetric vertex operator superalgebras. We show that the lifting of the mirror automorphism for the N=2 Neveu-Schwarz algebra to an N=2 vertex operator superalgebra is not unique and that different mirror map vertex operator superalgebra automorphisms of an N=2 vertex operator superalgebra can lead to non-isomorphic categories of mirror-twisted modules, as in the case of free and lattice N=2 vertex operator superalgebras.
10/2011;