1992/11/06 by Silvia Penati, Penati, Silvia, D. Zanon +2
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/9211033
19 pages, IFUM 435/FT
arxiv created 1992/11/06 · openalex publication_date 1992/11/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
: We consider two--dimensional supersymmetric Toda theories based on the Lie superalgebras A(n,n), D(n+1,n) and B(n,n) which admit a fermionic set of simple roots and a fermionic untwisted affine extension. In particular, we concentrate on two simple examples, the B(1,1) and A(1,1) theories. Both in the conformal and massive case we address the issue of quantum integrability by constructing the first non trivial conserved currents and proving their conservation to all--loop orders. While the D(n+1,n) and B(n,n) systems are genuine N=1 supersymmetric theories, the A(n,n) models possess a global N=2 supersymmetry. In the conformal case, we show that the A(n,n) stress--energy tensor, uniquely determined by the holomorphicity condition, has vanishing central charge and it corresponds to the stress--energy tensor of the associated topological theory. (Invited talk at the International Workshop ``String theory, quantum gravity and the unification of the fundamental interactions'', Roma, September 1992)