Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2013-13

Spectra of Coset Sigma Models.


Constantin Candu, Vladimir Mitev, Volker Schomerus


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2013-13


MSC 2000:


Abstract: We compute the complete 1-loop spectrum of anomalous dimensions for the bulk fields of nonlinear sigma models on symmetric coset (super)spaces G=H, both with and without world-sheet supersymmetry. In addition, we provide two new methods for the construction of partition functions in the infinite radius limit and demonstrate their efficiency in the case of (super)spheren sigma models. Our results apply to a large number of target spaces including superspheres and superprojective spaces such as the N = 2 sigma model on CP3/4.