دورية أكاديمية
Random finite noncommutative geometries and topological recursion.
العنوان: | Random finite noncommutative geometries and topological recursion. |
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المؤلفون: | Azarfar, Shahab, Khalkhali, Masoud |
المصدر: | Annales de l'Institut Henri Poincaré D; 2024, Vol. 11 Issue 3, p409-451, 43p |
مصطلحات موضوعية: | FINITE geometries, RANDOM matrices, GEOMETRIC approach, DIRAC operators, QUANTUM gravity, SPECTRAL element method |
مستخلص: | In this paper we investigate a model for quantum gravity on finite noncommutative spaces using the theory of blobbed topological recursion. The model is based on a particular class of random finite real spectral triples (A,H,D,γ,J), called random matrix geometries of type (1,0), with a fixed fermion space (A,H,γ,J), and a distribution of the form e-S(D)dD over the moduli space of Dirac operators. The action functional S(D) is considered to be a sum of terms of the form ∏s |
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قاعدة البيانات: | Complementary Index |
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