Classification of irreducible modules of certain subalgebras of free boson vertex algebra

By Dražen Adamović. 2002

99 citations recorded by the source corpus.

Let M(1) be the vertex algebra for a single free boson. We classify irreducible modules of certain vertex subalgebras of M(1) generated by two generators. These subalgebras correspond to the W(2,2p−1)-algebras with central charge 1−6(p−1)2/p where p is a positive integer, p⩾2. We also determine associated Zhu's algebras.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0212347f20a463bf6a4d6fb5f509474bbafb4e4d

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In Algebra and Number Theory

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2. T. Creutzig

In Geometry and Topology

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2. David Ridout

In Statistical and Nonlinear Physics

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2. David Ridout

Citations in the corpus

• Logarithmic conformal field theory: beyond an introduction (2013, background): “The representations of the singlet algebras M ( 1, p ) were considered in [106, 107].”