Abstract
Constraining theSL(3) WZW-model we construct a reduced theory which is invariant with respect to the new chiral algebraW 23 . This symmetry is generated by the stress-energy tensor, two bosonic currents with spins 3/2 and theU(1) current. We conjecture a Kac formula that describes the highly reducible representation for this algebra. We also discuss the quantum Hamiltonian reduction for the general type of constraints that leads to the new extended conformal algebras.
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Communicated by N. Yu. Reshetikhin
Address after September 1990: Lyman Laboratory, Harvard University, Cambridge, MA 02138, USA
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Bershadsky, M. Conformal field theories via Hamiltonian reduction. Commun.Math. Phys. 139, 71–82 (1991). https://doi.org/10.1007/BF02102729
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DOI: https://doi.org/10.1007/BF02102729