$\textrm{T}\bar{\textrm{T}}$微扰及其几何解释
The $\textrm{T}\bar{\textrm{T}}$ perturbation and its geometric interpretation
摘要：
从最近发现的$\textrm{T}\bar{\textrm{T}}$ -扰动拉格朗日量出发，证明了玻色场论的经典EoM的变形解与未扰动解是等价的，但对于特定的依赖于场的局部坐标变化.这个令人惊讶的几何结果与$\textrm{T}\bar{\textrm{T}}$变形的二维量子场论作为拓扑JT引力耦合到一般物质场的识别完全一致。虽然我们的结论是有效的通用相互作用的潜力，它首先出现在一个详细的研究的正弦戈登模型，特别是从一个事实，即嵌入在$\mathbb R^3$的孤子伪球形表面是左不变的变形。分析和数值结果有关的扰动特定的sine-Gordon孤子解。
英文摘要：
Starting from the recently-discovered $\textrm{T}\bar{\textrm{T}}$-perturbed Lagrangians, we prove that the deformed solutions to the classical EoMs for bosonic field theories are equivalent to the unperturbed ones but for a specific field-dependent local change of coordinates. This surprising geometric outcome is fully consistent with the identification of $\textrm{T}\bar{\textrm{T}}$-deformed 2D quantum field theories as topological JT gravity coupled to generic matter fields. Although our conclusion is valid for generic interacting potentials, it first emerged from a detailed study of the sine-Gordon model and in particular from the fact that solitonic pseudo-spherical surfaces embedded in $\mathbb R^3$ are left invariant by the deformation. Analytic and numerical results concerning the perturbation of specific sine-Gordon soliton solutions are presented.
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