论文标题
全息和单位性
Holography and unitarity
论文作者
论文摘要
如果全息图是量子理论之间的等效性，则可能期望它可以由一个地图描述，该地图是散装和边界希尔伯特空间之间的族裔等轴测图，从而保留了哈密顿量和对称性。全息据信被认为是引力（或弦）理论的特性，但不是非重力理论的特性。特别是马洛夫（Marolf）认为它源自重力对称性和重力的限制。这些观察结果表明，对假定全息图的研究是重力耦合$ g $的函数。零耦合极限给出了普通的量子场理论，因此不一定被预期是全息图。这是非零$ g $的重力结构，提出了有关完整地图的重要问题。特别是，全息图的构造似乎需要作为输入散装重力约束的非扰动类似物的解决方案，即单一的散装演化。此外，对候选边界代数的检查，包括哈密顿界的边界，揭示了换向因素，这些换向因素不会以通常的边界理论期望的通常方式接近。
If holography is an equivalence between quantum theories, one might expect it to be described by a map that is a bijective isometry between bulk and boundary Hilbert spaces, preserving the hamiltonian and symmetries. Holography has been believed to be a property of gravitational (or string) theories, but not of non-gravitational theories; specifically Marolf has argued that it originates from the gauge symmetries and constraints of gravity. These observations suggest study of the assumed holographic map as a function of the gravitational coupling $G$. The zero coupling limit gives ordinary quantum field theory, and is therefore not necessarily expected to be holographic. This, and the structure of gravity at non-zero $G$, raises important questions about the full map. In particular, construction of a holographic map appears to require as input a solution of the nonperturbative analog of the bulk gravitational constraints, that is, the unitary bulk evolution. Moreover, examination of the candidate boundary algebra, including the boundary hamiltonian, reveals commutators that don't close in the usual fashion expected for a boundary theory.
