Irrational free field resolutions for \(W(sl(n))\) and extended Sugawara construction. (English) Zbl 0769.17013
From the paper: “The existence of Miura-type free field realizations is established for the extended conformal algebras \(W(sl(n))\) at irrational values of the screening parameter. The problem of the “closure” of the algebra is reduced to a finite-dimensional quantum group problem”.
Reviewer: A.N.Pressley (London)
MSC:
| 17B65 | Infinite-dimensional Lie (super)algebras |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 17B67 | Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
Keywords:
Kac-Moody algebras; conformal field theory; \(W\)-algebras; Fock space resolution; character formula; irreducible modules; Miura-type free field realizations; extended conformal algebras; quantum groupReferences:
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