Superconformal 2D Minimal Models and an Unusual Coset Construction

1993/01/31 by M. YU. LASHKEVICH, Michael Lashkevich, M. Yu. Lashkevich · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th

paper · pdf · doi:10.1142/s021773239300088x

published as Mod.Phys.Lett. A8 (1993) 851-860 · 9 pages, LANDAU-92-TMP-2

arxiv created 1993/03/12 · arxiv updated 2009/11/30

Abstract

We consider a coset construction of minimal models. We define it rigorously and prove that it gives superconformal minimal models. This construction allows to build all primary fields of superconformal models and to calculate their three-point correlation functions.

Cited by

• Non-rational su(2) cosets and Liouville field theory
• Realizations of simple affine vertex algebras and their modules: the\n cases widehatsl(2) and widehatosp(1,2)
• Direct Sum Structure of the Super Virasoro Algebra and a Fermion Algebra Arising from the Quantum Toroidal \mathfrakgl₂

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• Correlator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset models
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• Symmetries in Two Dimensional Conformal Field Theories and Related\n Integrable Models
• Integrable auxiliary field deformations of coset models