超重力反反应狄拉克δ源的共形缺陷
Conformal defects in supergravity - backreacted Dirac delta sources
摘要：
我们构造了在零温度和有限温度下标量算子的局部狄拉克δ源变形理论的数值引力场。我们发现，要求的backreacted几何保持原来的标度不变性的源唯一确定的潜在的标量场是一个发现在一定的卡鲁扎-克莱因紧化的$11D$超引力。这一结果是使用一个有效的微扰膨胀的backreacted背景在零温度下，并证实了直接的数值计算。在有限温度下的数值解得到的狄拉克δ源的治疗的数值方法的详细讨论。通过计算量子纠缠熵，说明了缺陷组态的物理机制。
英文摘要：
We construct numerically gravitational duals of theories deformed by localized Dirac delta sources for scalar operators both at zero and at finite temperature. We find that requiring that the backreacted geometry preserves the original scale invariance of the source uniquely determines the potential for the scalar field to be the one found in a certain Kaluza-Klein compactification of $11D$ supergravity. This result is obtained using an efficient perturbative expansion of the backreacted background at zero temperature and is confirmed by a direct numerical computation. Numerical solutions at finite temperatures are obtained and a detailed discussion of the numerical approach to the treatment of the Dirac delta sources is presented. The physics of defect configurations is illustrated with a calculation of entanglement entropy.
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