W -algebras related to parafermion algebras
By C. Dong, C. Lam, H. Yamada. 2008
79 citations recorded by the source corpus.
Abstract We study a W-algebra of central charge 2 ( k − 1 ) / ( k + 2 ) , k = 2 , 3 , … , contained in the commutant of a Heisenberg algebra in a simple affine vertex operator algebra L ( k , 0 ) of type A 1 ( 1 ) with level k. We calculate the operator product expansions of the W-algebra. We also calculate some singular vectors in the case k ⩽ 6 and determine the irreducible modules and Zhu's algebra. Furthermore, the rationality and the C 2 -cofiniteness are verified for such k.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4525dea556632b8f3a14c588c0ebdfd6fd131e9e
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In Algebra and Number Theory
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- The Structure of Parafermion Vertex Operator Algebras: General Case (2009, background): “More precisely, let L(k, 0) be the level k integrable highest weight module for affine Kac-Moody algebra ĝ associated Supported by NSF grants, and a Faculty research grant from the University of California at Santa Cruz.”