We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string
compactifications with 8 supercharges. This sharpens our previous analysis by including …

A bstract We study quantum corrections in four-dimensional theories with N= 1
supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent …

A bstract We find closed-form expressions for the Schur indices of 4d\(\mathcal {N}\)= 2*
super Yang-Mills theory with unitary gauge groups for arbitrary ranks via the Fermi-gas …

A bstract The tower Weak Gravity Conjecture predicts infinitely many super-extremal states
along every ray in the charge lattice of a consistent quantum gravity theory. We show this far …

A bstract We apply the modular approach to computing the topological string partition
function on non-compact elliptically fibered Calabi-Yau 3-folds with higher Kodaira …

Let S be a K3 surface and let E be an elliptic curve. We solve the reduced Gromov–Witten
theory of the Calabi–Yau threefold S * ES× E for all curve classes which are primitive in the …

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 …

We determine the Gromov-Witten invariants of the local Enriques surfaces for all genera and
curve classes and prove the Klemm-Mari\~{n} o formula. In particular, we show that the …

We introduce marked relative Pandharipande-Thomas (PT) invariants for a pair (X, D) of a
smooth projective threefold and a smooth divisor. These invariants are defined by …

We conjecture that the generating series of Gromov–Witten invariants of the Hilbert schemes
of n points on a K3 surface are quasi-Jacobi forms and satisfy a holomorphic anomaly …