论文标题
$ t \ bar {t} $的大n分析 - 变形和不可避免的负面状态
Large N Analysis of $T\bar{T}$-deformation and Unavoidable Negative-norm States
论文作者
论文摘要
我们通过使用大$ n $限制来研究$ t \ bar {t} $的非扰动量子方面 - 免费$ o（n）$ vector模型的变形。结果表明，原始场的结合状态出现，不可避免地成为负面状态。特别是，在引力理论中，结合状态可以被视为共形模式的状态，在重力理论中，liouville作用是与中央电荷负相称的系数诱导的。为了使理论呈阳性，需要进行一些修改，以保留由于中央电荷负负电荷的Faddeev-Popov幽灵而导致的差异不变性。
We study non-perturbative quantum aspects of $T\bar{T}$-deformation of a free $O(N)$ vector model by employing the large $N$ limit. It is shown that bound states of the original field appear and inevitably become negative-norm states. In particular, the bound states can be regarded as the states of the conformal mode in a gravitational theory, where the Liouville action is induced with the coefficient proportional to the minus of central charge. To make the theory positive-definite, some modification is required so as to preserve diffeomorphism invariance due to the Faddeev-Popov ghosts with a negative central charge.
