Speaker
Description
This project focuses on classifying supersymmetric solutions in 6D Euclidean U(1)^2 gauged supergravity. Five-dimensional SCFTs exhibit interesting features which we may probe by placing them on different curved backgrounds, however this can be difficult to study using field theory techniques. Holography, in particular the AdS/CFT correspondence, provides an alternative method. For example, the gravitational on-shell action provides the leading contribution to the partition function of the dual conformal field theory.
Building on existing classifications in F(4) gauged supergravity, this research extends the analysis to the more general U(1)^2 theory and allows for a more refined study of the dual field theory. Using G-structure techniques, the supersymmetry conditions are reformulated as differential constraints on spinor bilinears, allowing for a systematic classification of admissible geometries and uncovering universal geometric structures. This work will allow for the study of these solutions using equivariant localization. This is a recently developed method for computing physical observables in supergravity without the need for explicit solutions and we present preliminary results on this.