Structure constants for the \(\text{osp}(1|2)\) current algebra

DOI10.1016/S0550-3213(97)00052-7zbMath0937.81027arXivhep-th/9610224OpenAlexW2046797298MaRDI QIDQ678285

Alfonso V. Ramallo, Jose M. Sánchez de Santos, Isabel P. Ennes

Publication date: 16 April 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9610224

zbMATH Keywords

conformal field theoryfusion rulesaffine symmetryarbitrary primary operator productCoulomb gas technique

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (10)

Fusion rules and singular vectors of the \(\text{osp}(1|2)\) current algebra ⋮ 𝒩-point and higher-genus osp(1|2) fusion ⋮ Integrable quantum field theories with supergroup symmetries: the OSP(1/2) case ⋮ Branes in the OSP\((1|2)\) WZNW model ⋮ Integrable quantum field theories with OSP\((m/2n)\) symmetries ⋮ Integrable aspects of the scaling \(q\)-state Potts models. I: Bound states and bootstrap closure ⋮ Free field realizations of affine current superalgebras, screening currents and primary fields ⋮ Graded parafermions ⋮ \(\text{osp}(1|2)\) off-shell Bethe ansatz equations ⋮ Fusion in coset CFT from admissible singular-vector decoupling

Cites Work

• Unnamed Item
• Unnamed Item
• On BRST cohomology of \(\mathrm{SL}(2,\mathbb R)_{p/q-2}/\mathrm{SL}(2,\mathbb R)_{p/q-2}\) gauged WZNW models
• Hidden SL(n) symmetry in conformal field theories
• Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
• Representations of affine Kac-Moody algebras, bosonization and resolutions
• Unitary representations of the Virasoro and super-Virasoro algebras
• Structure constants in the \(N=1\) superoperator algebra
• The theory of Lie superalgebras. An introduction
• Hamiltonian reduction of \(\mathrm{SL}(2)\) theories at the level of correlators
• Quantum Hamiltonian reduction of super Kac-Moody algebra. II.
• THE BRST SYMMETRY OF AFFINE LIE SUPERALGEBRAS AND NONCRITICAL STRINGS
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras

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