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- Title
W-Algebra W(2, 2) and the Vertex Operator Algebra L(1/2,0) ⊗ L(1/2,0).
- Authors
Zhang, Wei; Dong, Chongying
- Abstract
In this paper the W-algebra W(2, 2) and its representation theory are studied. It is proved that a simple vertex operator algebra generated by two weight 2 vectors is either a vertex operator algebra associated to an irreducible highest weight W(2, 2)- module or a tensor product of two simple Virasoro vertex operator algebras. Furthermore, we show that any rational, C 2-cofinite and simple vertex operator algebra whose weight 1 subspace is zero, weight 2 subspace is 2-dimensional and with central charge c = 1 is isomorphic to $${L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}$$ .
- Subjects
C*-algebras; VERTEX operator algebras; LIE algebras; BILINEAR forms; VON Neumann algebras
- Publication
Communications in Mathematical Physics, 2009, Vol 285, Issue 3, p991
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-008-0562-x