5 citations · 12 across the 11 of their papers we have counts for
22 papers
Cohomogeneity one solutions of the IIB system
Lorenzo Foscolo, Mario Garcia-Fernandez
The IIB system is a system of PDEs for an SU(3)--structure and a positive function on a 6-manifold. Its solutions describe conformally balanced pluriclosed Hemitian metrics on comp…
Universal Hitchin moduli spaces
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +1
We study metric aspects of the universal moduli space of solutions to Hitchin's equations as the complex structure varies over the Teichmüller space of a closed s…
-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 , with parameter , as recently proposed in the physics literature by F…
Vertex algebras from the Hull-Strominger system
Luis Álvarez-Cónsul, Andoni De Arriba de La Hera, Mario Garcia-Fernandez
Motivated by the programme on mirror symmetry for non-Kähler manifolds, we construct representations of the superconformal vertex algebra associated to solutions of the Hull-…
Futaki Invariants and Yau's Conjecture on the Hull-Strominger system
Mario Garcia-Fernandez, Raul Gonzalez Molina
We find a new obstruction to the existence of solutions of the Hull-Strominger system, which goes beyond the balanced property of the Calabi-Yau manifold and the Mumford-Ta…
Harmonic metrics for the Hull-Strominger system and stability
Mario Garcia-Fernandez, Raul Gonzalez Molina
We investigate stability conditions related to the existence of solutions of the Hull-Strominger system with prescribed balanced class. We build on recent work by the authors, wher…