Six-dimensional (2,0) theory on tori

Paper in proceeding, 2013

The six-dimensional (2,0) theories are a comparatively new and rather abstract type of quantum theory with important relations both to supersymmeric Yang-Mills theory in lower dimensions and to string- and M-theory in higher dimensions. After a short introduction to these theories, we focus on the case when they are considered on flat tori [1] [2]. In particular, we give an example of how their ground state degeneracies can be computed, and also briefly discuss the spectrum of BPS-states. Finally, we comment on the automorphic transformation properties of the partition function of such a theory under the mapping class group of a six-torus.