| Texto completo | |
| Autor(es): |
de Lazari, Hannah
;
Lotay, Jason D.
;
Earp, Henrique N. Sa
;
Svanes, Eirik Eik
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Communications in Mathematical Physics; v. 406, n. 8, p. 50-pg., 2025-07-02. |
| Resumo | |
The heterotic SU(3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{SU}(3)$$\end{document} system, also known as the Hull-Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the local structure of the moduli space of solutions to this system on a compact 6-manifold X, using a vector bundle Q=(T1,0X)& lowast;circle plus End(E)circle plus T1,0X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Q=(T<^>{1,0}X)<^>* \oplus {{\textrm{End}}}(E) \oplus T<^>{1,0}X$$\end{document}, where E -> X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$E\rightarrow X$$\end{document} is the classical gauge bundle arising in the system. We establish that the moduli space has an expected dimension of zero. We achieve this by studying the deformation complex associated to a differential operator D<overline>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\bar{D}$$\end{document}, which emulates a holomorphic structure on Q, and demonstrating an isomorphism between the two cohomology groups which govern the infinitesimal deformations and obstructions in the deformation theory for the system. We also provide a Dolbeault-type theorem linking these cohomology groups to & Ccaron;ech cohomology, a result which might be of independent interest, as well as potentially valuable for future research. (AU) | |
| Processo FAPESP: | 21/11467-3 - Teorias de Yang-Mills supersimétricas em 7-variedades Calabi-Yau de contato |
| Beneficiário: | Hannah de Lázari da Costa e Silva |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Mestrado |
| Processo FAPESP: | 20/15525-5 - Teoria de Yang-Mills supersimétrica em 7-variedades Calabi-Yau de contato |
| Beneficiário: | Hannah de Lázari da Costa e Silva |
| Modalidade de apoio: | Bolsas no Brasil - Mestrado |
| 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: | 21/11442-0 - Funções de partição em Calabi-Yau links 7 dimensionais |
| Beneficiário: | Hannah de Lázari da Costa e Silva |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Mestrado |