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Structure Constants in the $N=1$ Super-Liouville Field Theory

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arxiv hep-th/9607120 v1 pith:GGLNEIAZ submitted 1996-07-15 hep-th

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classification hep-th
keywords functionsequationsfieldalgebracorrelationdegenerateddifferentialfields
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The symmetry algebra of $N=1$ Super-Liouville field theory in two dimensions is the infinite dimensional $N=1$ superconformal algebra, which allows one to prove, that correlation functions, containing degenerated fields obey some partial linear differential equations. In the special case of four point function, including a primary field degenerated at the first level, this differential equations can be solved via hypergeometric functions. Taking into account mutual locality properties of fields and investigating s- and t- channel singularities we obtain some functional relations for three- point correlation functions. Solving this functional equations we obtain three-point functions in both Neveu-Schwarz and Ramond sectors.

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Cited by 3 Pith papers

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

  1. Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory

    hep-th 2026-07 conditional novelty 7.0 of 10

    N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.

  2. Towards the super Virasoro minimal string

    hep-th 2025-05 conditional novelty 7.0 of 10

    The authors derive the timelike super Liouville structure constants from crossing symmetry and construct a tentative Type 0A/0B super Virasoro minimal string whose sphere three-point functions vanish only after sign c...

  3. Exact expressions for the 5-Point Liouville conformal block with a level-two degenerate field insertion

    hep-th 2025-06 conditional novelty 5.0 of 10

    A rigorous inductive proof that the 5-point Liouville conformal block with a level-2 degenerate insertion can be expressed exactly in terms of one hypergeometric function and its derivative.

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