论文标题
$ t \ bar {t} $ - 大N：集体田地理论和相变的变形2D Yang-Mills
$T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions
论文作者
论文摘要
我们考虑2D大$ n $ ym理论的$ t \ bar t $变形在气缸，球体和磁盘上。得出了变形理论的集体场理论哈密顿量，并为球体找到了集体理论运动方程的特定解决方案。解决方案的非扰动分支的帐户等于在$（a，τ）$平面处的一阶相变。我们在磁盘上分析了变形理论中的三阶相变，并根据边界载体的函数得出临界区域。讨论了光谱密度中的一种Hagedorn行为。
We consider the $T\bar T$ deformation of 2d large $N$ YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere. The account of the non-perturbative branch of the solution amounts to the first-order phase transition at the $(A,τ)$ plane. We analyze the third-order phase transition in the deformed theory on the disk and derive the critical area as a function of the boundary holonomy. A kind of Hagedorn behavior in the spectral density is discussed.
