New constrained generalized Killing spinor field classes in warped flux compactifications

التفاصيل البيبلوغرافية
العنوان: New constrained generalized Killing spinor field classes in warped flux compactifications
المؤلفون: Gonçalves, D. Fabri, da Rocha, R.
سنة النشر: 2023
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics
الوصف: The generalized Fierz identities are addressed in the K\"ahler-Atiyah bundle framework from the perspective of the equations governing constrained generalized Killing spinor fields. We explore the spin geometry in a Riemannian 8-manifold composing a warped flux compactification AdS$_3\times M_8$, whose metric and fluxes preserve one supersymmetry in AdS$_3$. Supersymmetry conditions can be efficiently translated into spinor bilinear covariants, whose algebraic and differential constraints yield identifying new spinor field classes. Intriguing implications and potential applications are discussed.
Comment: 25 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.19530
رقم الأكسشن: edsarx.2310.19530
قاعدة البيانات: arXiv