We evaluate one-loop open-string amplitudes at finite $\alpha'$ for the first time. Our method
involves a deformation of the integration contour over the modular parameter $\tau $ to a …

A bstract We study 5d\(\mathcal {N}\)= 1 supersymmetric field theories on closed five-
manifolds\(\mathcal {M}\) 5 which are principal circle bundles over simply-connected Kähler …

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 consider the order parameter u=⟨ Tr ϕ 2⟩ as a function of the running coupling constant
τ∈ H of asymptotically free N= 2 QCD with gauge group SU (2) and N f≤ 3 massive …

We consider topologically twisted $\mathcal {N}= 2$, $ SU (2) $ gauge theory with a massive
adjoint hypermultiplet on a smooth, compact four-manifold $ X $. A consistent formulation …

Abstract Symmetries of Seiberg–Witten (SW) geometries capture intricate physical aspects
of the underlying 4d $\mathcal {N}= 2$ field theories. For rank-one theories, these …

A bstract The low energy effective couplings of a four-dimensional\(\mathcal {N}\)= 2
supersymmetric gauge theory to topological invariants of the background gravitational field …

The u-plane integral is the contribution of the Coulomb branch to correlation functions of N=
2 gauge theory on a compact four-manifold. We consider the u-plane integral for correlators …

We consider topological twists of four-dimensional N= 2 supersymmetric QCD with gauge
group SU (2) and N f≤ 3 fundamental hypermultiplets. The twists are labelled by a choice of …

We revisit the low-energy effective U (1) action of topologically twisted N= 2 SYM theory with
gauge group of rank one on a generic oriented smooth four-manifold X with nontrivial …