Mateo Galdeano

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math.DG2026★ 3 cited

The heterotic G $_{2}$ system with reducible characteristic holonomy

Mateo Galdeano, Leander Stecker

We construct solutions to the heterotic G $_{2}$ system on almost contact metric manifolds with reduced characteristic holonomy. We focus on $3$ - $(I^\pm, I^´)$ -Sasaki manifolds and $(Î±,Î´…

math.DG2025

Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds

Mateo Galdeano, Daniel Platt, Yuuji Tanaka +1

We construct $S p in (7)$ -instantons on one of Joyce's compact $S p in (7)$ -manifolds. The underlying compact $S p in (7)$ -manifold given by Joyce is the same as in Lewis' construction of $…

math.DG2025

$G_{2}$ -structures with torsion and the deformed Shatashvili-Vafa vertex algebra

Andoni De Arriba de La Hera, Mateo Galdeano, Mario Garcia-Fernandez

We construct representations of the deformed Shatashvili-Vafa vertex algebra $SV_{a}$ , with parameter $a \in C$ , as recently proposed in the physics literature by F…

math.DG2024

Generalised Einstein metrics on Lie groups

We continue the systematic study of left-invariant generalised Einstein metrics on Lie groups initiated in arXiv:2206.01157. Our approach is based on a new reformulation of the cor…

The heterotic G2​ system with reducible characteristic holonomy

Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds

G2​-structures with torsion and the deformed Shatashvili-Vafa vertex algebra

Generalised Einstein metrics on Lie groups

The heterotic G $_{2}$ system with reducible characteristic holonomy

$G_{2}$ -structures with torsion and the deformed Shatashvili-Vafa vertex algebra