发展新质生产力的人文基础

In this talk we will talk about more mathematical and fundational aspects of quantization in general, focusing on its difficulties instead of great achievements. Especially, we will talk about the second kind of divergence in quantum field theory, as a motivation to organically integrate the soitonic contribution into QFT as a whole, and the quantization at the presence of a kink. Recall that renormalization is crucial in obtaining finite order-by-order contributions in formal perturbation theory. However, the matching of renormalization schemes between different topological sectors was for a long time not well defined hence lead to ambiguity. In this talk we will also try to answer the question: If a vacuum sector Hamiltonian is regularized by an energy cutoff, how is the one-kink sector Hamiltonian regularized?

Using the Kreuzer-Skarke database of 4-dimensional reflexive polytopes, we systematically constructed a new database of orientifold Calabi-Yau threefolds up to h^{1,1}(X) =12. Our approach involved a non-trivial Z_2 involution, with both divisor exchanging and multi-reflections, acting on the Calabi-Yau manifolds. Each of such proper involutions will result in an orientifold Calabi-Yau manifolds and 320,386,067 of them was constructed. We developed a novel algorithm that significantly reduces the complexity of determining the fixed locus under the involutions, followed by the locations of different types of O-planes. It shows that under the proper involutions one end up with majority the O3/O7-planes system and most of them will further admit a naive Type IIB string vacua. Additionally, a new type of free action was determined. We also computed the smoothness and the splitting of Hodge numbers for these orientifold Calabi-Yau threefolds. Finally, We use the machine learning technique to search the polytope which can result in an orientifold Calabi-Yau hypersurface and the“naive type IIB string vacua”.