Topological correlation functions in Minkowski spacetime Original Research Article

We consider a class of non-unitary Toda theories based on the Lie superalgebras A(1) (n, n) in two-dimensional Minkowski spacetime, which can be twisted into a topological sector. In particular we study the simplest example with n = 1 and real fields, and show how this theory can be treated as an integrable perturbation of the A(1, 0) superconformal model. We construct the conserved currents and the vertex operators which are chiral primary fields in the conformal theory. We then define the chiral ring of the A(1)(1, 1) Toda theory and compute topological correlation functions in the twisted sector. The calculation is performed using a N = 2 off shell superspace approach.