A bstract We consider the twistor description of classical self-dual Einstein gravity in the
presence of a defect operator wrapping a certain ℂℙ 1. The backreaction of this defect …

Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and
cannot be solved analytically. Integrable systems lie on the other extreme. They possess …

We reformulate the twistor construction for hyper-and quaternion-K\" ahler manifolds,
introducing new sigma models that compute scalar potentials for the geometry. These sigma …

What follows is a broad-brush overview of the recent synergistic interactions between
mathematics and theoretical physics of quantum field theory and string theory. The …

We study the resurgent structure of the refined topological string partition function on a non-
compact Calabi-Yau threefold, at large orders in the string coupling constant $ g_s $ and …

We study a second-order linear differential equation known as the deformed cubic oscillator,
whose isomonodromic deformations are controlled by the first Painlevé equation. We use …

We show that TBA equations defined by the BPS spectrum of $5 d $$\mathcal {N}= 1$$ SU
(2) $ Yang-Mills on $ S^ 1\times\mathbb {R}^ 4$ encode the q-Painlevé III $ _3 $ equation …

Recently, T. Bridgeland defined a complex hyperkähler metric on the tangent bundle over
the space of stability conditions of a triangulated category, based on a Riemann–Hilbert …

We construct the normal forms of null-Kähler metrics: pseudo-Riemannian metrics admitting
a compatible parallel nilpotent endomorphism of the tangent bundle. Such metrics are …

We continue our study of the correspondence between BPS structures and topological
recursion in the uncoupled case, this time from the viewpoint of quantum curves. For spectral …