Alessandro Tomasiello (Milano Bicocca U. & INFN)
Conformal field theories in six dimensions
Interacting field theories are harder to define in more than four dimensions: for example, the Yang-Mills action becomes non-renormalizable. When they can be defined, they give rise to many interesting theories in four dimensions, upon compactification. For superconformal theories, the maximum number of dimensions is six; this case is also of special interest in string theory, for the dynamics of M5-branes. In this talk, I will review old results and recent progress in the study of superconformal field theories in six dimensions, which in particular hint at a possible classification of all such theories.