The simplest non-trivial 5d superconformal field theories (SCFT) are the famous rank-one
theories with $ E_n $ flavour symmetry. We study their $ U $-plane, which is the one …

A bstract We give evidence that the all genus amplitudes of topological string theory on
compact elliptically fibered Calabi-Yau manifolds can be written in terms of meromorphic …

The holomorphic anomaly equations describe B-model closed topological strings in Calabi–
Yau geometries. Having been used to construct perturbative expansions, it was recently …

The gauge theoretic large N expansion yields an asymptotic series which requires a
nonperturbative completion to be well defined. Recently, within the context of random matrix …

We conjecture that the relative Gromov–Witten potentials of elliptic fibrations are (cycle-
valued) lattice quasi-Jacobi forms and satisfy a holomorphic anomaly equation. We prove …

Holomorphic anomaly equation for (P2 , ) and the Nekrasov-Shatashvili limit of local P Page 1
Forum of Mathematics, Pi (2021), Vol. 9:e3 1–57 doi:10.1017/fmp.2021.3 RESEARCH ARTICLE …

A bstract We study the Coulomb branches of four-dimensional supersymmetric quantum
field theories with\(\mathcal {N}\)= 2 supersymmetry, including the KK theories obtained from …

A bstract We show that the stringy Kähler moduli space of a generic genus one curve of
degree N, for N≤ 5, is the Γ 1 (N) modular curve X 1 (N). This implies a correspondence …

The spectrum of BPS states in type IIA string theory compactified on a Calabi–Yau threefold
famously jumps across codimension-one walls in complexified Kähler moduli space, leading …

We study the fundamental relationship between stable quotient invariants and the B-model
for local P 2 in all genera. Our main result is a direct geometric proof of the holomorphic …