On BRST cohomology of \(\mathrm{SL}(2,\mathbb R)_{p/q-2}/\mathrm{SL}(2,\mathbb R)_{p/q-2}\) gauged WZNW models

DOI10.1016/0550-3213(93)90153-GzbMath1360.81278OpenAlexW1641443939MaRDI QIDQ525618

Ming Yu, Hong-Liang Hu

Publication date: 5 May 2017

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

Full work available at URL: https://doi.org/10.1016/0550-3213(93)90153-g

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70) Cohomology of Lie (super)algebras (17B56)

Related Items (12)

Notes on SL(2) conformal fields theories. Exact solution and applications ⋮ Conformal blocks for admissible representations in \(SL(2)\) current algebra ⋮ Free field realizations of 2D current algebras, screening currents and primary fields ⋮ Fusion rules and singular vectors of the \(\text{osp}(1|2)\) current algebra ⋮ \(\text{gl}(N,N)\) current algebras and topological field theories ⋮ Structure constants for the \(\text{osp}(1|2)\) current algebra ⋮ \(A_1^{(1)}\) admissible representations - fusion transformations and local correlators ⋮ Free field realization of \(\text{SL}(2)\) correlators for admissible representations, and Hamiltonian reduction for correlators ⋮ Fusion, crossing and monodromy in conformal field theory based on SL(2) current algebra with fractional level ⋮ Free field realizations of affine current superalgebras, screening currents and primary fields ⋮ Construction of BRST invariant states in \(G/H\) WZNW models ⋮ On \(2\)D gravity coupled to \(c\leq 1\) matter in the Polyakov light-cone gauge

Cites Work

• Hidden SL(n) symmetry in conformal field theories
• \(S=1\) for \(c=1\).
• Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• A construction of the \(c<1\) modular invariant partition functions
• On holomorphic factorization of WZW and coset models
• BRST cohomology and highest weight vectors. I
• INTERACTION OF DISCRETE STATES IN TWO-DIMENSIONAL STRING THEORY
• CORRELATION FUNCTIONS OF MINIMAL MODELS COUPLED TO TWO-DIMENSIONAL QUANTUM SUPERGRAVITY
• Semi-infinite cohomology and string theory

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