Worldsheet scattering for string mirror models

The quantisation of string theories on curved backgrounds is a notoriously difficult task. One approach that is proving very powerful when string non-linear sigma model is integrable is to bootstrap a factorised S matrix on the two-dimensional string worldsheet. The computation of the finite-volume spectrum then requires to introduce a Wick-rotated worldsheet model, the so-called mirror model. This is quite non-trivial if the original worldsheet theory is not relativistic. This thesis will perturbatively compute the two-particle into two-particle scattering processes and some production processes for the "mirror" of a worldsheet model.