发表机构
School of Physics and Astronomy, Sun Yat-sen University（中山大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究AdS/BCFT中膜局域标量场引起的混合边界条件对全息卡西米尔效应的影响，发现相关边界形变可增强效应，并给出排斥力的引力对偶。
AI 中文摘要
本文研究了在AdS/BCFT框架下，具有膜局域标量场的全息卡西米尔效应。该标量场在条带的两个边界上取不同值，从而产生混合边界条件。大质量的膜局域标量场通常会破坏边界共形对称性，使我们能够在非共形场论中研究全息卡西米尔效应。在二维时空中，我们应用全息g定理证明了对于一般膜局域物质场的卡西米尔效应的全息界。在更高维度中，我们发现当质量平方\(m^2=0\)时，膜局域标量场会减小卡西米尔振幅，但当\(m^2<0\)时，它可以增大该振幅。此外，对于\(m^2>0\)的情况，存在一个无毛定理。这些发现表明，相关的边界形变可以增强卡西米尔效应。作为副产品，我们获得了混合边界条件下排斥性卡西米尔力的引力对偶，并论证了它与宇宙监督猜想一致。
英文摘要
This paper investigates the holographic Casimir effect in AdS/BCFT with a brane-localized scalar field. The scalar field takes different values at the strip's two boundaries, leading to mixed boundary conditions. The massive brane-localized scalar field typically breaks the boundary conformal symmetries, allowing us to study the holographic Casimir effect in non-CFTs. In two-dimensional spacetime, we apply the holographic g-theorem to prove the holographic bound on the Casimir effect for general brane-localized matter fields. In higher dimensions, we find that the brane-localized scalar field reduces the Casimir amplitude when the mass squared \(m^2=0\), but can increase it when \(m^2 < 0\). Additionally, there is a no-hair theorem for the cases where \(m^2>0\). These findings indicate that relevant boundary deformations can enhance the Casimir effect. As a byproduct, we obtain a gravitational dual of the repulsive Casimir force under mixed boundary conditions and argue that it aligns with the cosmic censorship conjecture.
Comments29 pages, 8 figures
