标题： 关于AdS上的全息约束QFTs 显示英文标题

标题： On holographic confining QFTs on AdS

摘要： 在固定AdS空间上考虑了限制于平坦空间的全息量子场论。构建了这类理论全息解的空间，并找到了三种规则解。具有两个AdS边界的理论在两种限制性理论之间提供界面。单个AdS边界对应的理论对应于AdS上的单一限制性理论的基态。我们发现了没有边界的解，其解释尚不清楚。还存在一个特殊的极限解，在紫外不动点附近无限次振荡。我们详细分析了单边界解的全息字典，并计算了自由能。改变曲率时未发现（量子）相变。我们找到了无穷多个纯vev解，但没有不含vev的CFT解。我们还计算了界面解的自由能。我们发现乘积驻点解的自由能总是低于连接解，这意味着在这种界面中，归一化的交叉关联函数在$N_c^2$中以指数方式消失。 显示英文摘要

摘要： Holographic quantum field theories that confine in flat space, are considered on a fixed AdS space. The space of holographic solutions for such theories is constructed and three types of regular solutions are found. Theories with two AdS boundaries provide interfaces between two confining theories. Theories with a single AdS boundary correspond to ground states of a single confining theory on AdS. We find solutions without a boundary, whose interpretation is not obvious. There is also a special limiting solution that oscillates an infinite number of times around the UV fixed point. We analyze in detail the holographic dictionary for the one-boundary solutions and compute the free energy. No (quantum) phase transitions are found when we change the curvature. We find an infinite number of pure vev solutions, but no CFT solution without a vev. We also compute the free energy of the interface solutions. We find that the product saddle points have always lower free energy than the connected solutions. This implies that in such interfaces, normalized cross-correlators vanish exponentially in $N_c^2$.