5 papers
Attribution of Predictive Uncertainties in Classification Models
Iker Perez, Piotr Skalski, Alec Barns-Graham +2
Predictive uncertainties in classification tasks are often a consequence of model inadequacy or insufficient training data. In popular applications, such as image processing, we ar…
A Superconformal Index for HyperKähler Cones
Alec E. Barns-Graham, Nick Dorey
We define an index for superconformal quantum mechanics on a hyperKähler cone. The index is defined on an equivariant symplectic resolution of the cone, w…
Twistor description of spinning particles in AdS
Alex S. Arvanitakis, Alec E. Barns-Graham, Paul K. Townsend
The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance under the AdS isometry group Sp(4;K) for K=R,C,H, i…
ADHM and the 4d Quantum Hall Effect
Alec Barns-Graham, Nick Dorey, Nakarin Lohitsiri +2
Yang-Mills instantons are solitonic particles in d=4+1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted t…
Anti-de Sitter particles and manifest (super)isometries
Alex S. Arvanitakis, Alec E. Barns-Graham, Paul K. Townsend
Starting from the classical action for a spin-zero particle in a D-dimensional anti-Sitter (AdS) spacetime, we recover the Breitenlohner-Freedman bound by quantization. For D=4,5,7…