1995/03/23 by H. Lü, H. Lu, C.N. Pope +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #hep-th
paper · pdf · doi:10.1016/0370-2693(95)01030-t
published as Phys.Lett.B358:239-245,1995 · 9 pages. CTP TAMU-13/95.
arxiv created 1995/03/23 · openalex publication_date 1995/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we construct non-critical BRST operators for matter and Liouville systems whose currents generate two different W algebras. At the classical level, we construct the BRST operators for W\rm M2,s⊗ W\rm L2,s'. The construction is possible for s=s' or s≥ s'+2. We also obtain the BRST operator for W\rm M2,4⊗ W\rm L4 at the classical level. We use free scalar realisations for the matter currents in the above constructions. At the full quantum level, we obtain the BRST operators for W\rm M2,s⊗ W\rm L2 with s=4,5, 6, where W2 denotes the Virasoro algebra. For the first and last cases, the BRST operators are expressed in terms of abstract matter and Liouville currents. As a by-product, we obtain the W2,4 algebra at c=-24 and the W2,6 algebra at c=-2 and -\ft2863, at which values the algebras were previously believed not to exist.