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arXiv · 2609.14296

Holographic Casimir Effect for Mixed Boundary Conditions and non-CFTs

Bing-Ji Ding·Hua-Chao Liu·Rong-Xin Miao
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Abstract

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.

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Bing-Ji Ding, Hua-Chao Liu, Rong-Xin Miao. 2026-09-13. Holographic Casimir Effect for Mixed Boundary Conditions and non-CFTs. https://arxiv.org/abs/2609.14296

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