Holographic Casimir Effect for Mixed Boundary Conditions and non-CFTs

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 m²=0, but can increase it when m² < 0. Additionally, there is a no-hair theorem for the cases where m²>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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BibTeX RIS

BibTeX

@misc{ding2026holographic,
  title = {{Holographic Casimir Effect for Mixed Boundary Conditions and non-CFTs}},
  author = {Bing-Ji Ding and Hua-Chao Liu and Rong-Xin Miao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14296},
  eprint = {2609.14296},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14296},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Holographic Casimir Effect for Mixed Boundary Conditions and non-CFTs
AU  - Bing-Ji Ding
AU  - Hua-Chao Liu
AU  - Rong-Xin Miao
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14296
UR  - https://arxiv.org/abs/2609.14296
AB  - 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.
ER  -

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