论文标题
全息相变附近的延伸状态
Dilatonic states near holographic phase transitions
论文作者
论文摘要
特殊强耦合限制场理论的结合状态的频谱可能包括参数较低的dilaton,与自发破裂(近似)规模不变的增强的冷凝水的形成有关。在文献中已经提出,这种状态可能与该理论接近全息模型中的单位性关系。我们将这些想法扩展到背景几何形状是非ads的情况,并且对双重限制场理论的重力描述具有自上而下的起源。 我们通过研究罗马人六维半超大超级重力的圆圈压实来体现该程序。我们发现了丰富的解决方案,其中许多以前是文献中未知的。我们计算激发的骨光谱,并在参数空间区域中识别一类常规背景解决方案的速度不稳定性。 tachyon仅沿着重力理论的解决方案的能量不足(非物理)分支存在。我们找到了将参数空间与物理空间区分开的一阶相变的证据。沿着常规溶液的物理分支,最轻的标量颗粒之一大约是dilaton,并且与基础理论中的冷凝物有关。然而,由于相变的位置,其质量在参数上并不小,恰恰是近代最高的标量结合状态,而不是最轻的标态状态。
The spectrum of bound states of special strongly coupled confining field theories might include a parametrically light dilaton, associated with the formation of enhanced condensates that break (approximate) scale invariance spontaneously. It has been suggested in the literature that such a state may arise in connection with the theory being close to the unitarity bound in holographic models. We extend these ideas to cases where the background geometry is non-AdS, and the gravity description of the dual confining field theory has a top-down origin in supergravity. We exemplify this programme by studying the circle compactification of Romans six-dimensional half-maximal supergravity. We uncover a rich space of solutions, many of which were previously unknown in the literature. We compute the bosonic spectrum of excitations, and identify a tachyonic instability in a region of parameter space for a class of regular background solutions. A tachyon only exists along an energetically disfavoured (unphysical) branch of solutions of the gravity theory; we find evidence of a first-order phase transition that separates this region of parameter space from the physical one. Along the physical branch of regular solutions, one of the lightest scalar particles is approximately a dilaton, and it is associated with a condensate in the underlying theory. Yet, because of the location of the phase transition, its mass is not parametrically small, and it is, coincidentally, the next-to-lightest scalar bound state, rather than the lightest one.