On the stability of fracton gravity

التفاصيل البيبلوغرافية
العنوان: On the stability of fracton gravity
المؤلفون: Afxonidis, Evangelos, Caddeo, Alessio, Hoyos, Carlos, Musso, Daniele
سنة النشر: 2024
المجموعة: General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology
الوصف: We study the stability of fracton gravity, a variant of linearized gravity where the gauge symmetry is restricted to longitudinal diffeomorphisms. These transformations can be connected to a spacetime generalization of dipole symmetry, hence the tag fracton. We find that fracton gravity features an instability in the spin-1 sector corresponding to solutions with growing amplitude. This dynamical instability can be removed by tuning the couplings of the theory. Nonetheless, the Hamiltonian for the spin-1 modes remains always unbounded from below when evaluated on the classical solutions. We find no other sources of instability in the spin-2 or spin-0 sectors. We analyze in detail the canonical formulation and the constraints arguing that neither auxiliary fields nor gauge-fixing conditions can be employed to remove the problematic vector modes or stabilize them.
Comment: 21 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.19268
رقم الأكسشن: edsarx.2406.19268
قاعدة البيانات: arXiv