Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2022)095
Keywords
AdS-CFT Correspondence; 2D Gravity; Black Holes; Scale and Conformal Symmetries
Categories
Funding
- Simons Foundation
- MEXT KAKENHI [21H05187]
- Inamori Research Institute for Science and World Premier International Research Center Initiative (WPI Initiative) from the Japan Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- JSPS [21H04469, 18K18766]
- Grants-in-Aid for Scientific Research [18K18766, 21H04469, 21H05187] Funding Source: KAKEN
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In this paper, we investigate the equivalence between a boundary conformal field theory (BCFT) and a gravitational system by studying its duality relation in a two-dimensional setup. By examining the computation of entanglement entropy and energy flux conservation, we identify the dual two-dimensional gravity to the boundary dynamics of a BCFT. Furthermore, we demonstrate that one point functions can be correctly reproduced in the AdS/BCFT by considering a gravity solution with scalar fields turned on.
By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how the boundary condition of the BCFT is translated in the gravitational system. We examine this duality relation in a two-dimensional setup by looking at the computation of entanglement entropy and energy flux conservation. We also identify the two-dimensional gravity which is dual to the boundary dynamics of a BCFT. Moreover, we show that by considering a gravity solution with scalar fields turned on, we can reproduce one point functions correctly in the AdS/BCFT.
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