Integrability in Sigma-Models

Author: K. Zarembo Preprint Number: UUITP-04/17 Abstract: These lecture notes cover the following topics: (1) Homogeneous spaces, (2) Classical integrability of principal chiral field and semi-symmetric cosets, (3) Topological terms in sigma-models, (4) Backround-field method and beta-function, (5)  S-matrix bootstrap in the $O(N)$ model, (6) Supersymmetric cosets.