论文标题
部分可观测时空混沌系统的无模型预测
D-brane and F-theory Model Building
论文作者
论文摘要
储层计算是预测湍流的有力工具，其简单的架构具有处理大型系统的计算效率。然而，其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间，然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用，该系统模拟了湍流的若干特征。我们表明，使用径向基函数作为非线性投影器，即使只有部分观测并且不知道控制方程，也能稳健地捕捉复杂的系统非线性。最后，我们表明，当测量稀疏、不完整且带有噪声，甚至控制方程变得不准确时，我们的网络仍然可以产生相当准确的预测，从而为实际湍流系统的无模型预测铺平了道路。
We review recent progress in the construction of four-dimensional vacua of Type II string theory and F-theory which yield the Standard Model of particle physics (SM) or extensions thereof. In Type II orientifold compactifications the SM gauge group and chiral spectrum arise from the open string sector of the theory, namely from stacks of D-branes. The universal features of the chiral spectrum between various sets of D-branes allow for a general approach to build realistic models, which can be implemented in different setups. We describe the realisation of this strategy in Type II Calabi-Yau orientifold compactifications and Rational Conformal Field Theories, discussing the specific model building rules and features of each setting. The same philosophy can be extended to F-theory constructions. These provide new model building possibilities, as they combine the localisation properties of D-branes with exceptional gauge groups and their representations.
