标题： 体上的旋量场和紧致化维上的旋量场 显示英文标题

标题： Spinor fields on the bulk and on compactified dimensions

摘要： 这项工作的主要目的是通过关于感兴趣物理空间的旋量场分类来探索费米子场的本质，例如超引力理论中的体空间和紧致化空间$S^7$。 这种分类在探索和寻找新型粒子中具有极端的实用性，这些粒子的可观测量对应于双线性协变量。 通过利用Fierz-Pauli-Kofink恒等式和双线性对称性得到的约束条件，这些场被分类到不同的类别中。 我们找到了在超引力中七维紧致化空间上的自由旋量场的拉格朗日项，并且作为我们在体空间上旋量场分类的应用，我们将轴对称黑洞上的不变量与相应费米子场的双线性协变量的分量相关联。 此外，我们发现一种称为旗-偶极子的旋量不会生成膜，而是退化为另一种称为偶极子的旋量，在紧致化理论中，我们得到了低能情况下紧致化空间上的量子场表达式，该表达式用产生和湮灭算符表示。 显示英文摘要

摘要： This work has as the main aim to explore the nature of the fermionic fields, through a classification of spinor fields about physical space of interest, such as the bulk and the compactified space $S^7$ from the supergravity theories. This classification has an extreme utility in the exploration and in the search for new type of particles, whose observables correspond to bilinear covariants. In this way, these fields are classified into classes, through constraints obtained by means of the Fierz-Pauli-Kofink identities and the bilinear symmetries. We found the Lagrangian terms for the free spinor fields on spaces of seven compactified dimension in supergravity and, as application of our spinor fields classification on the bulk, we associate the invariants on axisymmetric black holes to the components of the bilinear covariants of the correspondent fermionic field. Besides, we found that a type of spinor denominated flag-dipole does not generate a brane, but degenerate itself in other type of spinor called dipole and, in compactification theories, we obtained the expression to the quantum field on compactified spaces for low energies in terms of creation and annihilation operators.