Theoretical Physics Wednesday Seminar: Franz Ciceri
- Date: –15:00
- Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å4101
- Lecturer: Franz Ciceri
- Contact person: Vladimir Procházka
Higher-derivative invariants from maximal conformal supergravity
Supersymmetric extensions of conformal gravity have been known for a long time. In four dimensions, N=4 conformal supergravity is the maximally supersymmetric theory of this type. While the underlying multiplet of fields and their full non-linear transformations rules were already derived almost 40 years ago, no complete invariant action had been constructed so far. I will present the most general class of actions which turns out to be characterized by a holomorphic function of the scalar fields. This deviates from the non-maximally supersymmetric cases where the action is unique. These results also provide the basis for a formalism in which certain higher-derivative invariants of N=4 Poincare supergravity can be studied off-shell. In particular, I will argue that one of the superconformal actions, after gauge fixing the conformal symmetries and carefully integrating out the auxiliary fields, should give the complete supersymmetric expression of the counterterm that cancels the duality symmetry anomaly of the N=4 Poincare theory.