Abstract
This paper investigates the Casimir effect of a wedge and its holographic dual. We prove that the displacement operator universally determines the wedge Casimir effect in the smooth limit. Besides, we argue that the wedge Casimir energy increases with the opening angle and test it with several examples. Furthermore, we construct the holographic dual of wedges in AdS/BCFT in general dimensions. We verify that our proposal can produce the expected Casimir effect within smooth and singular limits. We observe that the Casimir energy density of a wedge increases with the brane tension. Next, we discuss the wedge contribution to holographic entanglement entropy and find it increases with the opening angle, similar to the wedge Casimir energy. Finally, we briefly discuss the holographic polygon in AdS3/BCFT2 and its generalization to higher dimensions.
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Acknowledgments
We thank Chong-Sun Chu for valuable discussions on the general problem of constructing AdS/BCFT with fixed BCFT geometry. We are grateful to Jian-Xin Lu for the helpful comments and discussions. This work is supported by the National Natural Science Foundation of China (No. 12275366 and No. 11905297).
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Miao, RX. Casimir effect and holographic dual of wedges. J. High Energ. Phys. 2024, 84 (2024). https://doi.org/10.1007/JHEP06(2024)084
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DOI: https://doi.org/10.1007/JHEP06(2024)084