Kaluza-Klein discreteness of the entropy: Symmetrical bath and CFT subsystem
Year: 2025
Type: article
Abstract: We explore the entanglement entropy of CFT systems in contact with large bath systems, such that the complete system lives on the boundary of spacetime. We are interested in finding the HEE of a bath (system-B) in contact with a central subsystem-A. We assume that the net size of systems A and B together remains fixed while allowing variation in individual sizes. This assumption is simply guided by the conservation laws. It is found that for large bath size the island entropy term is important. However other subleading (icebergs) terms do also contribute to bath entropy. The contributions are generally not separable from each other and all such contributions add together to give rise a fixed quantity. Further when accounted properly all such contributions will form part of higher entropy branch for the bath entropy. Nevertheless the HEE of bath system should be subjected to minimality principle. The quantum minimality principle , is local in nature and gives rise to the Page curve. It is also shown that the changes in bath entropy do capture Kaluza-Klein discreteness. The minimality principle would be applicable for finite temperature systems as well.
Source: Nuclear Physics B
Author: Harvendra Singh
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: Alexander von Humboldt-Stiftung
OpenAlex ID: W4409524766