Nucl.Phys. B398 (1993) 622-658 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 trasformations
which allow to determine the W-supercurrents of the conformal theories and we
compute their renormalized expressions. The analysis of the renormalization and
conservation of higher-spin currents is then performed for the corresponding
supersymmetric massive theories. We establish the quantum integrability of
these models and show that although their Lagrangian is not hermitian, the
masses of the fundamental particles are real, a property which is maintained by
one-loop corrections. The spectrum is actually much richer, since the theories
admit solitons. The existence of quantum conserved higher-spin charges implies
that elastic, factorized S-matrices can be constructed.
Nucl.Phys. B514 (1998) 460-474 We compute in superspace the one-loop beta-function for the nonlinear
sigma-model defined in terms of the nonminimal scalar multiplet. The recently
proposed ...quantization of this complex linear superfield, viewed as the field
strength of an unconstrained gauge spinor superfield, allows to handle
efficiently the infinite tower of ghosts via the Batalin-Vilkovisky formalism.
We find that the classical duality of the nonminimal scalar and chiral
multiplets is maintained at the quantum one-loop level.
We study the quantum integrability of nonsimply--laced affine Toda theories defined on the half--plane and explicitly construct the first nontrivial higher--spin charges in specific examples. We find ...that, in contradistinction to the classical case, addition of total derivative terms to the "bulk" current plays a relevant role for the quantum boundary conservation.
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 trasformations which allow to determine the W-supercurrents of the conformal theories and we compute their renormalized expressions. The analysis of the renormalization and conservation of higher-spin currents is then performed for the corresponding supersymmetric massive theories. We establish the quantum integrability of these models and show that although their Lagrangian is not hermitian, the masses of the fundamental particles are real, a property which is maintained by one-loop corrections. The spectrum is actually much richer, since the theories admit solitons. The existence of quantum conserved higher-spin charges implies that elastic, factorized S-matrices can be constructed.
We study renormalizable nonlinear sigma-models in two dimensions with N=2 supersymmetry described in superspace in terms of chiral and complex linear superfields. The geometrical structure of the ...underlying manifold is investigated and the one-loop divergent contribution to the effective action is computed. The condition of vanishing beta-function allows to identify a class of models which satisfy this requirement and possess N=4 supersymmetry.
We compute in superspace the one-loop beta-function for the nonlinear sigma-model defined in terms of the nonminimal scalar multiplet. The recently proposed quantization of this complex linear ...superfield, viewed as the field strength of an unconstrained gauge spinor superfield, allows to handle efficiently the infinite tower of ghosts via the Batalin-Vilkovisky formalism. We find that the classical duality of the nonminimal scalar and chiral multiplets is maintained at the quantum one-loop level.
