Topological matter, mirror symmetry and non-critical (super)strings Original Research Article

We study the realization of the (super) conformal topological symmetry in two-dimensional field theories. The mirror automorphism of the topological algebra is represented as a reflection in the space of fields. As a consequence, a double BRST structure for topological matter theories is found. It is shown that the implementation of the topological symmetry in non-critical (super) string theories depends on the matter content of the two realizations connected by the mirror transformation.