AdS Space from Entanglement Entropy

Seungjoon Hyun, Sang A. Park

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the anti-de Sitter(AdS) space naturally emerges from the conformal field theory (CFT). The behavior of the leading divergent term in the entanglement entropy implies the underlying AdS geometry. The coefficient of the leading divergent term is related to the radius of the AdS space. All these are confirmed fully for two-dimensional CFTs. We also give comments for higher dimensional CFTs.

Original languageEnglish
Pages (from-to)845-850
Number of pages6
JournalJournal of the Korean Physical Society
Volume75
Issue number11
DOIs
Publication statusPublished - 2019 Dec 1

Bibliographical note

Funding Information:
We would like to thank Jae-Suk Park and Kyung Kiu Kim for useful discussion. SH would like to thank KEK and KIAS for their hospitality, where part of this work has been done. This work was supported by the National Research Foundation of Korea (NRF) grant NRF-2016R1D1A1A09917598 and by the Yonsei University Future-leading Research Initiative of 2017 (2017-22-0098).

Funding Information:
We would like to thank Jae-Suk Park and Kyung Kiu Kim for useful discussion. SH would like to thank KEK and KIAS for their hospitality, where part of this work has been done. This work was supported by the National Research Foundation of Korea (NRF) grant NRF-2016R1D1A1A09917598 and by the Yonsei University Future-leading Research Initiative of 2017 (2017-22-0098).

Publisher Copyright:
© 2019, The Korean Physical Society.

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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