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Operator product expansion and factorization in the $H_3^+$-WZNW model

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arxiv hep-th/9906215 v2 pith:GTPDKHFQ submitted 1999-06-28 hep-th

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

Precise descriptions are given for the operator product expansion of generic primary fields as well as the factorization of four point functions as sum over intermediate states. The conjecture underlying the recent derivation of the space-time current algebra for string theory on $ADS_3$ by Kutasov and Seiberg is thereby verified. The roles of microscopic and macroscopic states are further clarified. The present work provides the conformal field theory prerequisites for a future study of factorization of amplitudes for string theory on $ADS_3$ as well as operator product expansion in the corresponding conformal field theory on the boundary.

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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. On the $AdS_3$ Virasoro-Shapiro Amplitude

    hep-th 2024-12 conditional novelty 7.0 of 10

    Tree-level four-tachyon amplitudes on AdS3 with NSNS flux expand around flat space into Virasoro-Shapiro integrals dressed with single-valued multiple polylogarithms, to all orders.

  3. Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality

    hep-th 2026-01 unverdicted novelty 2.0 of 10

    Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.

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