Résumé |
I will discuss a classical six-dimensional superconformal field theory containing a non-
abelian tensor multiplet which we recently constructed in arXiv:1712.06623. This theory
satisfies many of the properties of the mysterious (2,0)-theory: non-abelian 2-form
potentials, ADE-type gauge structure, reduction to Yang-Mills theory and reduction to M2-
brane models. There are still some crucial differences to the (2,0)-theory, but our action
seems to be a key stepping stone towards a potential classical formulation of the (2,0)-
theory. I will review in detail the underlying mathematics of categorified gauge algebras and
categorified connections, which make our constructions possible. |