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arxiv: 0810.3532 · v2 · submitted 2008-10-20 · ✦ hep-th

sl^(2)_(-1/2): A Case Study

classification ✦ hep-th
keywords algebrabetabriefcarefullycaseconformalconstructioncurrent
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The construction of the non-logarithmic conformal field theory based on sl^(2)_{-1/2} is revisited. Without resorting to free-field methods, the determination of the spectrum and fusion rules is streamlined and the beta gamma ghost system is carefully derived as the extended algebra generated by the unique finite-order simple current. A brief discussion of modular invariance is given and the Verlinde formula is explicitly verified.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    math.QA 2026-05 unverdicted novelty 7.0

    The paper develops a formalism for reduction and inverse-reduction functors and computes the action of reduction on standard modules of V^k(sl_2), noting unbounded spectral sequences.

  2. Bosonic Ghost Correlators: A Case Study

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    Four-point functions in the bosonic ghost system have logarithmic singularities.