تقرير
The topological structure of supergravity: an application to supersymmetric localization
| العنوان: | The topological structure of supergravity: an application to supersymmetric localization |
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| المؤلفون: | Imbimbo, Camillo, Rosa, Dario |
| سنة النشر: | 2018 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | The BRST algebra of supergravity is characterized by two different bilinears of the commuting supersymmetry ghosts: a vector $\gamma^\mu$ and a scalar $\phi$, the latter valued in the Yang-Mills Lie algebra. We observe that under BRST transformations $\gamma$ and $\phi$ transform as the superghosts of, respectively, topological gravity and topological Yang-Mills coupled to topological gravity. This topological structure sitting inside any supergravity leads to universal equivariant cohomological equations for the curvatures 2-forms which hold on supersymmetric bosonic backgrounds. Additional equivariant cohomological equations can be derived for supersymmetric backgrounds of supergravities for which certain gauge invariant scalar bilinears of the commuting ghosts exist. Among those, $N= (2,2)$ in $d=2$, which we discuss in detail in this paper, and $N=2$ in $d=4$. Comment: 38 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP05(2018)112 |
| URL الوصول: | http://arxiv.org/abs/1801.04940 |
| رقم الأكسشن: | edsarx.1801.04940 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP05(2018)112 |
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