量子对数引力没有手征截断？
No chiral truncation of quantum log gravity?
摘要：
在经典水平上，手征引力可以被构造为一个更大的称为对数引力的理论的一致截断，通过要求左移电荷消失。反过来，对数引力是拓扑大质量引力（TMG）在特定耦合值（手征点）的极限。我们研究线性化量子场的水平上的情况，专注于一个单一的量子化。虽然TMG希尔伯特空间在手征点是连续的，但左移Virasoro生成元变得不明确，不能用于定义手征截断。从某种意义上说，左移渐进对称性在手征点处自发破缺。相比之下，在TMG的非幺正量子化中，希尔伯特空间和电荷在手征点处都是连续的，并且在线性化水平上定义了手征引力的幺正理论。
英文摘要：
At the classical level, chiral gravity may be constructed as a consistent truncation of a larger theory called log gravity by requiring that left-moving charges vanish. In turn, log gravity is the limit of topologically massive gravity (TMG) at a special value of the coupling (the chiral point). We study the situation at the level of linearized quantum fields, focussing on a unitary quantization. While the TMG Hilbert space is continuous at the chiral point, the left-moving Virasoro generators become ill-defined and cannot be used to define a chiral truncation. In a sense, the left-moving asymptotic symmetries are spontaneously broken at the chiral point. In contrast, in a non-unitary quantization of TMG, both the Hilbert space and charges are continuous at the chiral point and define a unitary theory of chiral gravity at the linearized level.
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