Quantum symmetries in supersymmetric Toda theories
| dc.creator | Penati, Silvia | |
| dc.creator | Zanon, Daniela | |
| dc.date | 1992-11-06 | |
| dc.date.accessioned | 2026-07-07T04:18:58Z | |
| dc.date.available | 2026-07-07T04:18:58Z | |
| dc.description | : 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) | |
| dc.description | 19 pages, IFUM 435/FT | |
| dc.identifier | https://arxiv.org/abs/hep-th/9211033 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9211033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53408 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum symmetries in supersymmetric Toda theories | |
| dc.type | text |