Aspects of Tensor Network in Gauge/Gravity Duality
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- Miyaji Masamichi
- 名古屋大学大学院理学研究科
Bibliographic Information
- Other Title
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- ゲージ・重力対応におけるテンソルネットワーク
Abstract
<p>We explore the applications of tensor networks in gauge/gravity duality. A tensor network serves as an efficient geometric representation of a quantum state, encoding the structure of quantum entanglement in the same way as the Ryu-Takayanagi formula in gauge/gravity duality. This implies that the tensor network provides a model for a time slice in anti-de Sitter space, facilitating the connection of various bulk geometric quantities with quantum information-theoretic quantities at the boundary. Within this article, we explore several such applications and establish the continuum limit of the tensor network using a path-integral approach. This allows us to directly extract bulk metrics from the tensor network.</p>
Journal
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- Butsuri
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Butsuri 79 (3), 129-134, 2024-03-05
The Physical Society of Japan
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Details 詳細情報について
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- CRID
- 1390017887629696384
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- ISSN
- 24238872
- 00290181
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- Text Lang
- ja
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- Data Source
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- JaLC
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- Abstract License Flag
- Disallowed