Nongeometric states in a holographic conformal field theory

Wu Zhong Guo, Feng Li Lin, Jiaju Zhang

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


In the AdS3/CFT2 correspondence, we find some conformal field theory (CFT) states that have no bulk description by the Bañados geometry. We elaborate the constraints for a CFT state to be geometric, i.e., having a dual Bañados metric, by comparing the order of central charge of the entanglement/Rényi entropy obtained respectively from the holographic method and the replica trick in CFT. We find that the geometric CFT states fulfill Bohr's correspondence principle by reducing the quantum Korteweg-de Vries hierarchy to its classical counterpart. We call the CFT states that satisfy the geometric constraints geometric states, and otherwise, we call them nongeometric states. We give examples of both the geometric and nongeometric states, with the latter case including the superposition states and descendant states.

Original languageEnglish
Article number106001
JournalPhysical Review D
Issue number10
Publication statusPublished - 2019 May 15

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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