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Résumé |
Conformal field theories are ubiquitous in two dimensions, and a few
superconformal integrable theories are known in higher D. In D>2 well defined
non-supersymmetric CFTs are rare species, and integrable CFTs are true
exceptions, such as N=4 SYM or N=6 ABJM. I will illustrate how to obtain new,
non-supersymmetric and integrable CFTs at any dimension through strong
deformations of N=4 SYM (or ABJM). In particular I’ll explain the origin of
their integrability, relying on the topology of planar Feynmann graphs.
Quantum mechanical models of interacting spins can be built in order to simply
and exactly compute several 2- and 3-point correlators of local operators,
showing also how the theory interpolates in D between well-known models of
high energy physics. Details about the computation of some class of graphs
will be shown, together with the open problems and possible further outcomes
in these theories. |
