| Texto completo | |
| Autor(es): |
da Silva Jr., Agnaldo A.
;
Garcia-Fernandez, Mario
;
Lotay, Jason D.
;
Sa Earp, Henrique N.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | INTERNATIONAL JOURNAL OF MATHEMATICS; v. N/A, p. 68-pg., 2025-09-19. |
| Resumo | |
In this paper, we introduce the coupled instanton equations for a metric, a spinor, a 3-form, and a connection on a bundle, over a spin manifold. Special solutions in dimensions 6 and 7 arise, respectively, from the Hull-Strominger and the heterotic G(2) system. The equations are motivated by recent developments in theoretical physics and can be recast using generalized geometry; we investigate how coupled instantons relate to generalized Ricci-flat metrics and also to Killing spinors on a Courant algebroid. We present two open questions regarding how these different geometric conditions are intertwined, for which a positive answer is expected from recent developments in the physics literature by De la Ossa, Larfors and Svanes, and in the mathematics literature on Calabi-Yau manifolds, in recent work by the second-named author with Gonz & aacute;lez Molina. We give a complete solution to the first of these problems, providing a new method for the construction of instantons in arbitrary dimensions. For G(2)-structures with torsion coupled to G(2)-instantons, in dimension 7, we also establish results around the second problem. The last part of this work carefully studies the approximate solutions to the heterotic G(2)-system constructed by the third and fourth authors on contact Calabi-Yau 7-manifolds, for which we prove the existence of approximate coupled G(2)-instantons and generalized Ricci-flat metrics. (AU) | |
| Processo FAPESP: | 21/04065-6 - BRIDGES: interações França-Brasil em Teoria de Calibres, estruturas extremais e estabilidade |
| Beneficiário: | Henrique Nogueira de Sá Earp |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 21/11603-4 - A curvatura de Ricci generalizada em 7-variedades Calabi-Yau de contato |
| Beneficiário: | Agnaldo Alessandro da Silva Junior |
| Modalidade de apoio: | Bolsas no Brasil - Mestrado |