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Theoretical Physycs Group at Scuola Normale Superiore
Piazza dei Cavalieri, 7
56100 Pisa PI - Italy
ph. +39 050 509203
ph. +39 050 509111

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.