Free field realizations of 2D current algebras, screening currents and primary fields
DOI10.1016/S0550-3213(97)00394-5zbMath0934.81013arXivhep-th/9704052OpenAlexW2144290581MaRDI QIDQ1366573
Publication date: 10 September 1997
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9704052
conformal field theoryintegral representationsdegenerate representationssimple affine Lie algebrasWakimoto free field realizations
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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)
Related Items
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
- Structure of representations with highest weight of infinite-dimensional Lie algebras
- Gaudin model, Bethe ansatz and critical level
- Negative screenings in Liouville theory
- AN EXPLICIT CONSTRUCTION OF WAKIMOTO REALIZATIONS OF CURRENT ALGEBRAS
- Quantum Groups in Two-Dimensional Physics
- Screening Currents Ward Identity and Integral Formulas for the WZNW Correlation Functions
- Free field realization of \(\text{SL}(2)\) correlators for admissible representations, and Hamiltonian reduction for correlators