论文标题
$ t \ bar t $变形的CFTS的古典和量子对称性
Classical and quantum symmetries of $T\bar T$-deformed CFTs
论文作者
论文摘要
以前已经证明，$ t \ bar t $ - 变形的CFTS拥有Virasoro $ \ times $ virasoro对称性在整个量子级别上，其发电机是通过简单地沿$ t \ bar t $流量运输的原始CFT生成器来获得的。在本文中，我们在经典限制中明确求解相应的流程方程，获得了一组无限的保守电荷，即使理论在紧凑的空间上，在相位空间上的作用也是明确的。 $ t \ bar t $变形的特征的场依赖性坐标显示出明确从流中出现。将对称性转换从规范的形式主义转换为协变形式主义，我们发现它们与以前在拉格朗日背景下提出的对称性转换不同，但它们与从全息图获得的人完全一致。我们还对对称发生器的不同可能的基础发表评论，以及如何将我们的显式经典结果驱动地扩展到量子水平。
It has previously been proven that $T\bar T$ - deformed CFTs possess Virasoro $\times$ Virasoro symmetry at the full quantum level, whose generators are obtained by simply transporting the original CFT generators along the $T\bar T$ flow. In this article, we explicitly solve the corresponding flow equation in the classical limit, obtaining an infinite set of conserved charges whose action on phase space is well-defined even when the theory is on a compact space. The field-dependent coordinates that are characteristic of the $T\bar T$ deformation are shown to emerge unambiguously from the flow. Translating the symmetry transformations from the canonical to the covariant formalism, we find that they are different from those that have been previously proposed in the Lagrangian context, but that they agree precisely with those obtained from holography. We also comment on different possible bases for the symmetry generators and on how our explicit classical results could be extended perturbatively to the quantum level.
