Hyperbolic lattices underlie a new form of quantum matter with potential applications to
quantum computing and simulation and which, to date, have been engineered artificially. A …

We study a rich set of four-dimensional N= 1 superconformal field theories (SCFTs) with both
central charges identical: a= c. We construct them via the diagonal N= 1 gauging of the …

We demonstrate that the linear quotient singularity for the exceptional subgroup G in Sp (4,
C) of order 32 is isomorphic to an affine quiver variety for a 5-pointed star-shaped quiver …

Prior works relating meromorphic Higgs bundles to topological recursion, in particular those
of Dumitrescu-Mulase, have considered non-singular models that allow the recursion to be …

We introduce the notion of a Nakajima bundle representation. Given a labelled quiver and a
variety or manifold $ X $, such a representation involves an assignment of a complex vector …

Arising from a topological twist of N= 4 super Yang–Mills theory are the Kapustin–Witten
equations, a family of gauge-theoretic equations on a four-manifold parametrised by t∈ P 1 …

The focus of this thesis is on the interplay between Higgs bundles and topological recursion.
Our interests lie in the relationship between quantum curves and the quantization of Hitchin …