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Classification of Irreducible Modules¶of Algebra with c=− 2

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Abstract:

We construct irreducible modules V α (α∈ℂ) over the \( algebra with central charge c=− 2 in terms of a free bosonic field. We prove that these modules exhaust all the irreducible modules of the \( algebra with c=− 1. Highest weights of modules \( \( with respect to the full (two-dimensional) Cartan subalgebra of the \( algebra are \(. They are parametrized by points (t, w) on a rational curve \( Irreducible modules of the vertex algebra \( with c=− 1 are also classified.

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Authors and Affiliations

  1. Max-Planck Institut für Mathematik, 53225 Bonn, Germany. E-mail: wqwang@mpim-bonn.mpg.de, , , , , , DE

    Weiqiang Wang

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  1. Weiqiang Wang
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Received: 10 July 1997 / Accepted: 11 November 1997

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Wang, W. Classification of Irreducible Modules¶of Algebra with c=− 2. Comm Math Phys 195, 113–128 (1998). https://doi.org/10.1007/s002200050382

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  • DOI: https://doi.org/10.1007/s002200050382

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