标题： 二维非均匀变形共形场论的全息性 显示英文标题

标题： The Holography of the 2D inhomogeneously deformed CFT

摘要： 我们系统地研究在AdS/CFT对应框架下二维共形场理论中的非均匀哈密顿量，将其与二维弯曲背景相关联。 我们根据Virasoro共伴随轨道提出了一种非均匀哈密顿量的分类方法。 相应的全息对偶几何由广义的Ba$\tilde{\text{n}}$ados解描述，我们引入了一种广义的Roberts映射以促进它们的研究。 我们的分类提供了之前未被充分探索的变形类别，为它们的全息性质提供了新的见解。 重新审视著名的M$\ddot{\text{o}}$bius哈密顿量的例子，我们建立了与三维C度规的联系，该度规描述了三维加速解。 此外，我们将分析扩展到KdV类型的渐近边界条件，揭示了一个更广泛的可解非均匀哈密顿量类别，这些哈密顿量不是Virasoro电荷的线性组合，而是涉及KdV电荷。 显示英文摘要

摘要： We systematically study inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds. We propose a classification of inhomogeneous Hamiltonians based on the Virasoro coadjoint orbit. The corresponding bulk dual geometries are described by the generalized Ba$\tilde{\text{n}}$ados solutions, for which we introduce a generalized Roberts mapping to facilitate their study. Our classification provides previously underexplored classes of deformations, offering fresh insights into their holographic properties. Revisiting the well-known example of the M$\ddot{\text{o}}$bius Hamiltonian, we establish a connection to the 3D C-metric, which describes three-dimensional accelerating solutions. Furthermore, we extend our analysis to KdV-type asymptotic boundary conditions, revealing a broader class of solvable inhomogeneous Hamiltonians that are not linear combinations of Virasoro charges but instead involve KdV charges.