Symmetry TFTs from String Theory.

We determine the dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for -dimensional QFTs obtained by compactifying M-theory on a non-compact space . The resulting theory, which we call the Symmetry TFT, or SymTFT for short, is derived by reducing the topological sector of 11d supergravity on the boundary of the space . Central to this endeavour is a reformulation of supergravity in terms of differential cohomology, which allows the inclusion of torsion in cohomology of the space , which in turn gives rise to the background fields for discrete (in particular higher-form) symmetries.

Noninvertible Symmetries from Holography and Branes.

We propose a systematic approach to deriving symmetry generators of quantum field theories in holography. Central to this analysis are the Gauss law constraints in the Hamiltonian quantization of symmetry topological field theories (SymTFTs), which are obtained from supergravity. In turn, we realize the symmetry generators from world-volume theories of D-branes in holography.

Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity.

We describe three analytic classes of infinitely many AdS(d) supersymmetric solutions of massive IIA supergravity, for d=7,5,4. The three classes are related by simple universal maps. For example, the AdS(7)×M(3) solutions (where M(3) is topologically S(3)) are mapped to AdS(5)×Σ(2)×M(3)', where Σ(2) is a Riemann surface of genus g≥2 and the metric on M(3)' is obtained by distorting M(3) in a certain way.

Erratum to: AdS solutions of type II supergravity.

[This corrects the article DOI: 10.1007/JHEP11(2014)099.].