| Texto completo | |
| Autor(es): |
Fowdar, Udhav
Número total de Autores: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Communications in Mathematical Physics; v. 405, n. 8, p. 39-pg., 2024-08-01. |
| Resumo | |
We construct examples of deformed Hermitian Yang-Mills connections and deformed Spin(7)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{Spin}(7)$$\end{document}-instantons (also called Spin(7)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{Spin}(7)$$\end{document} deformed Donaldson-Thomas connections) on the cotangent bundle of CP2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}\mathbb {P}<^>2$$\end{document} endowed with the Calabi hyperK & auml;hler structure. Deformed Spin(7)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{Spin}(7)$$\end{document}-instantons on cones over 3-Sasakian 7-manifolds are also constructed. We show that these can be used to distinguish between isometric structures and also between Sp(2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{Sp}(2)$$\end{document} and Spin(7)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{Spin}(7)$$\end{document} holonomy cones. To the best of our knowledge, these are the first non-trivial examples of deformed Spin(7)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{Spin}(7)$$\end{document}-instantons. (AU) | |
| Processo FAPESP: | 21/07249-0 - Simetrias em problemas de holonomia excepcionais |
| Beneficiário: | Udhav Fowdar |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |