Analytic bootstrap in 2D boundary conformal field theory: towards braneworld holography
- Creators
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Kusuki, Yuya
Abstract
Recently, boundary conformal field theories (BCFTs) have attracted much attention in the context of quantum gravity. This is because a BCFT can be dual to gravity coupled to a heat bath CFT, known as the island model. On this background, it would be interesting to explore the duality between the boundary and the braneworld. However, this seems to be a challenging problem. The reason is because although there has been much study of rational BCFTs, there has been comparatively little study of irrational BCFTs, and irrational BCFTs are expected to be the boundary duals of the braneworlds. For this reason, we explore properties of boundary ingredients: the boundary primary spectrum, the boundary-boundary-boundary OPE coefficients and the bulk-boundary OPE coefficients. For this purpose, the conformal bootstrap is extremely useful. This is the first step in providing an understanding of BCFTs in the context of braneworld holography by using the conformal bootstrap. The techniques developed in this paper may be useful for further investigation of irrational BCFTs.
Additional Information
© The Authors 2022. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received 05 January 2022. Accepted 03 March 2022. Published 24 March 2022. We are grateful to Nathan Benjamin, Dalimil Mazac, Hirosi Ooguri, Sridip Pal, David Simmons-Duffin, and Yifan Wang for useful discussions. We would like to thank Nathan Benjamin, Sridip Pal, and Zixia Wei very much for valuable comments on this paper. YK is supported by Burke Fellowship (Brinson Postdoctoral Fellowship).Attached Files
Published - Kusuki2022_Article_AnalyticBootstrapIn2DBoundaryC.pdf
Submitted - 2112.10984.pdf
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Additional details
- Eprint ID
- 114082
- Resolver ID
- CaltechAUTHORS:20220325-720394813
- Walter Burke Institute for Theoretical Physics, Caltech
- SCOAP3
- Created
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2022-03-25Created from EPrint's datestamp field
- Updated
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2022-03-25Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics