Cartan geometry, supergravity, and group manifold approach

التفاصيل البيبلوغرافية
العنوان: Cartan geometry, supergravity, and group manifold approach
المؤلفون: François, J., Ravera, L.
سنة النشر: 2024
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: Mathematical Physics, High Energy Physics - Theory
الوصف: We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In a first part we review the geometry of classical gauge theory, as a background for understanding gauge theories of gravity in terms of Cartan geometry. The second part introduces the basics of the group manifold approach to supergravity, hinting at the deep rooted connections to Cartan supergeometry. The contribution is intended, not as an extensive review, but as a conceptual overview, and hopefully a bridge between communities in physics and mathematics.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.11376
رقم الأكسشن: edsarx.2402.11376
قاعدة البيانات: arXiv