Symmetries in Two Dimensional Conformal Field Theories and Related Integrable Models

Abstract

We present part of our investigations on two dimensional N=1 and N=2 superconformal field theories. As a direct generalization we consider the SU(2) coset models, in particular their renormalization group properties. A search and possible implementation of additional symmetries in related integrable models are also presented.

arXiv comment192 pages, Presented for obtaining the scientific degree "Doctor of sciences"; one reference corrected, few references added