Title: Exact operator bosonization of finite number of fermions in one space dimension Show Chinese title

Title: 一维空间中有限数量费米子的精确算符玻色化

Abstract: We derive an exact operator bosonization of a finite number of fermions in one space dimension. The fermions can be interacting or noninteracting and can have an arbitrary hamiltonian, as long as there is a countable basis of states in the Hilbert space. In the bosonized theory the finiteness of the number of fermions appears as an ultraviolet cut-off. We discuss implications of this for the bosonized theory. We also discuss applications of our bosonization to one-dimensional fermion systems dual to (sectors of) string theory such as LLM geometries and c=1 matrix model. Show Chinese abstract

Abstract: 我们推导了一维空间中有限数量费米子的精确算符玻色化。 这些费米子可以是相互作用的或非相互作用的，并且可以具有任意哈密顿量，只要希尔伯特空间中存在可数的状态基。 在玻色化理论中，费米子数量的有限性表现为紫外截断。 我们讨论了这对玻色化理论的意义。 我们还讨论了我们的玻色化方法在与弦理论（如LLM几何和c=1矩阵模型）相关的二维费米子系统中的应用。