We study two-dimensional integrable N = 1 supersymmetric theories (without topological charges) in the presence of a boundary. We find a universal ratio between the reflection amplitudes for particles that are related by super-symmetry and we propose exact reflection matrices for the supersymmetric extensions of the multi-component Yang-Lee models and for the breather multiplets of the supersym...

Break the pattern that connects the subject matter and you destroy all quality Gregory Bateson in " Mind and Nature ". Intelligence is what one uses when one does not know what to do. Jean Piaget in " La psychologie de l'intelligence ". Ideas, concepts and theories are the stuff that constituts our reflection, and its reflection has a powerful influence on the world. David Bohm in " Unfolding m...

We study the duality between the two dimensional black hole and the sine-Liouville conformal field theories via exact operator quantization of a classical scattering problem. The ideas are first illustrated in Liouville theory, which is dual to itself under the interchange of the Liouville parameter b by 1/b. In both cases, a classical scattering problem does not determine uniquely the quantum ...

We study the reflection amplitudes of affine Toda field theories with boundary, following the ideas developed by Fring and Koberle in [4],[5],[6] and focusing our attention on the En series elements, because of their interesting structure of higher order poles. We also investigate the corresponding minimal reflection matrices, finding, with respect to the bulk case, a more complicated relation ...

A bstract We discuss supersymmetric defects in 6d $$ \mathcal{N} N = (1 , 0) SCFTs with SO( N c ) gauge group and ? 8 fundamental flavors. The codimension 2 4 are engineered by coupling the fields to charged free four two dimensions, respectively. find that partition function presence of defect on ? × ???? Ne...

In this paper we consider a strong-weak coupling duality of the N = 2 super-Liouville field theory (SLFT). Without the self-duality found in other Liouville theories, the N = 2 SLFT, we claim, is associated with a ‘dual’ action by a transformation b → 1/b where b is the coupling constant. To justify our conjecture, we compute the reflection amplitudes (or two-point functions) of the (NS) and th...