Exploring uberholography

• URL: http://arxiv.org/abs/2208.07387v2
• Date: Thu, 22 Sep 2022 17:38:40 GMT
• Title: Exploring uberholography
• Authors: Dmitry S. Ageev
• Abstract summary: We show how the growth of the system dimension emphasizes the role of the Cantor set, due to the special bound naturally arising in this context. We construct and explore different examples of the uberholographic bulk reconstruction corresponding to these structures in higher dimensions for Cantor-like sets, thermal states and $ToverlineT$-deformed conformal field theories.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we study the holographic quantum error correcting code properties in different boundary fractal-like structures. We construct and explore different examples of the uberholographic bulk reconstruction corresponding to these structures in higher dimensions for Cantor-like sets, thermal states and $T\overline{T}$-deformed conformal field theories. We show how the growth of the system dimension emphasizes the role of the Cantor set, due to the special bound naturally arising in this context.

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