Spectrum of end of the world branes in holographic BCFTs
- Univ. of California, Berkeley, CA (United States)
- Kyoto Univ. (Japan); Inamori Research Institute for Science, Kyoto (Japan); Univ. of Tokyo (Japan)
- Kyoto Univ. (Japan)
We study overlaps between two regularized boundary states in conformal field theories. Regularized boundary states are dual to end of the world branes in an AdS black hole via the AdS/BCFT. Thus they can be regarded as microstates of a single sided black hole. Owing to the open-closed duality, such an overlap between two different regularized boundary states is exponentially suppressed as $$\langle$$ψa|ψb$$\rangle$$~e-O(h$$^{(min)}_{ab}$$), where h$$^{(min)}_{ab}$$ is the lowest energy of open strings which connect two different boundaries a and b. Our gravity dual analysis leads to h$$^{(min)}_{ab}$$ = c/24 for a pure AdS3 gravity. This shows that a holographic boundary state is a random vector among all left-right symmetric states, whose number is given by a square root of the number of all black hole microstates. We also perform a similar computation in higher dimensions, and find that h$$^{(min)}_{ab}$$ depends on the tensions of the branes. In our analysis of holographic boundary states, the off diagonal elements of the inner products can be computed directly from on-shell gravity actions, as opposed to earlier calculations of inner products of microstates in two dimensional gravity.
- Research Organization:
- Univ. of California, Oakland, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation; Japan Ministry of Education, Culture, Sports, Science and Technology (MEXT); Japan Society for the Promotion of Science (JSPS); Berkeley Center for Theoretical Physics; National Science Foundation (NSF)
- Grant/Contract Number:
- SC0019380; AC02-05CH11231; 16H02182; 18K18766; PHY1820912; 19K14716
- OSTI ID:
- 1853148
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2021, Issue 6; ISSN 1029-8479
- Publisher:
- Springer NatureCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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