1994/09/01 by Sergei V. Ketov, Ketov, Sergei V.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9409007
11 pages, LaTeX, Hannover preprint ITP-UH-11/94, September 1994
arxiv created 1994/09/01 · openalex publication_date 1994/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The quantum BRST charges for the Bershadsky-Knizhnik orthogonal quasi-superconformal algebras are constructed. These two-dimensional superalgebras have the N-extended non-linearly realised supersymmetry and the SO(N) internal symmetry. The BRST charge nilpotency conditions are shown to have a unique solution at N>2, namely, N=4 and k=-2, where k is central extension parameter of the Kač-Moody subalgebra. We argue about the existence of a new string theory with the non-linearly realised N=4 world-sheet supersymmetry and negative `critical dimension'.