论文标题
分解和纠缠热力学的能量,用于$ t^2 $ - 变形
Energy of Decomposition and Entanglement Thermodynamics for $T^2$-deformation
论文作者
论文摘要
我们已经介绍了一套$ t \ bar {t} $的纠缠热力学定律 - 变形的CFTS,总体上以$ t^2 $变形的字段理论。特别是,该集合的第一定律指出,尽管我们正在处理非平凡的变形理论,但纠缠熵的变化只是将其简单地转化为纠缠表面弯曲能的变化。我们将这种能量解释为分解能量。探测变形理论的整个频谱,第二定律也产生,这表明不平等是第一定律源自其饱和极限。我们解释说,第二定律保证了保存单位性约束。这些定律的热力学形式要求我们定义变形温度并表达其特征,这是第三定律的主题。在此分析中,我们使用全息方法,在每种情况下,我们都会考虑对更高维度的概括。
We have presented a set of laws of entanglement thermodynamics for $T\bar{T}$-deformed CFTs and in general for $T^2$-deformed field theories. In particular, the first law of this set, states that although we are dealing with a non-trivial deformed theory, the change of the entanglement entropy is simply translated to the change of the bending energy of the entangling surface. We interpret this energy as the energy of decomposition. Probing the whole spectrum of the deformed theory, a second law also results, which suggests an inequality that the first law is derived from its saturation limit. We explain that this second law guarantees the preservation of the unitarity bound. The thermodynamical form of these laws requires us to define the temperature of deformation and express its characteristics, which is the subject of the third law. We use a holographic approach in this analysis and in each case, we consider the generalization to higher dimensions.