Jorge Zanelli: Local SUSY, and unconventional approach Abstract: Unconventional SUSY connects spacetime and internal symmetries, combining spin-1 gauge field and spin-1/2 fermions in a single Lie superalgebra-valued connection. In this representation, states do not come in Bose-Fermi pairs, avoiding the doubling of fields. If the local symmetry contains the Lorentz group, gravity is inevitably included, but there are no spin-3/2 (or higher) fundamental fields. The resulting systems are remarkably simple, closely resembling a standard quantum field theory and SUSY still emerges not as a symmetry of the action, but as a feature of the vacuum/ground state. Thus, local SUSY is a conditional/contingent symmetry, like Poincaré or AdS symmetries that depend on the nature of the spacetime background. We illustrate the general construction with 3D and 4D examples.

Laura Andrianopoli: Unconventional supersymmetry and AdS_4 supergravity

Evelyn Rodríguez: Chern-Simons Supergravity theories with torsion and non-relativistic limit Abstract: Teleparallel gravity is an alternative theory of gravity known to be considered equivalent to General Relativity. However, they are conceptually quite different. In particular, the teleparallel formulation of gravity is described by a vanishing curvature and a non-vanishing torsion. In that case, the geometry is no longer Riemannian but corresponds to the so-called Riemann-Cartan geometry. In this talk, I will present a gauge-invariant three-dimensional teleparallel supergravity theory using the Chern-Simons (CS) formalism. The construction is based on a supersymmetric extension of a particular deformation of the Poincaré algebra. At the bosonic level the theory describes a non-Riemannian geometry with a non-vanishing torsion. I will also present a Maxwellian generalization of the teleparallel gravity, allowing to introduce a non-vanishing torsion to the Maxwell CS gravity. The non-relativistic version of the teleparallel CS (super)gravity theory will also be discussed.

Pietro Antonio Grassi: The integral forms for the geometry of supergravity Abstract: The geometry of supergravity is extensively studied in two different frameworks: Superspace and Group Manifold Approach (a.k.a. Rheonomy). Both techniques have advantages and drawbacks, but apparently the integral forms are able to relate the two approaches fusing them within the geometry of supermanifolds. We present a short introduction to these new techniques and some applications to supergravity.

Rodrigo Olea: Conformal renormalization in AdS gravity Abstract: We present evidence that the renormalization of Einstein-AdS gravity can be derived from conformal structures in the bulk. In point of fact, by applying a holographic mechanism which reduces Conformal Gravity to its Einstein sector in 4 and 6 dimensions, the Einstein-AdS action is naturally endowed with the correct counterterms.

Olivera Mišković: EGB supergravity and black holes with unbroken supersymmetries Abstract: We discuss supersymmetric extension of Einstein-Gauss-Bonnet AdS_5 gravity with a particular GB coupling. The theory admits black hole solutions with non-trivial topological properties, which are also BPS states that leave some of the supersymmetries unbroken. We analyse physical properties of the solutions, such as their conserved charges and topological numbers. We find many similarities of these solutions with standard supergravity black holes, and also with 3D BTZ geometries.