QUANTUM CONSERVED-CURRENTS IN SUPERSYMMETRIC TODA THEORIES

We consider N = 1 supersymmetric Toda theories which admit a fermionic untwisted affine extension, i.e. the systems based on the A(n, n), D( n + 1, n) and B(n, n) superalgebras. We construct the superspace Miura transformations which allow us to determine the W-supercurrents of th e conformal theories and we compute their renormalized expressions. Th e analysis of the renormalization and conservation of higher-spin curr ents is then performed for the corresponding supersymmetric massive th eories. We establish the quantum integrability of these models and sho w that although their lagrangian is not hermitian, the masses of the f undamental particles are real, a property which is maintained by one-l oop corrections. The spectrum is actually much richer, since the theor ies admit solitons. The existence of quantum conserved higher-spin cha rges implies that elastic, factorized S-matrices can be constructed.