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• W2022352612 abstract "We discuss boundary conditions for conformal field theories that preserve the boundary Poincar'e invariance. As in the bulk field theories, a question arises whether boundary scale invariance leads to boundary conformal invariance. With unitarity, Cardy's condition of vanishing momentum flow is necessary for the boundary conformal invariance, but it is not sufficient in general. We show both a proof and a counterexample of the enhancement of boundary conformal invariance in ($1+1$) dimension, which depends on the extra assumption we make. In ($1+2$) dimension, Cardy's condition is shown to be sufficient. In higher dimensions, we give a perturbative argument in favor of the enhancement based on the boundary $g$-theorem. With the help of the holographic dual recently proposed, we show a holographic proof of the boundary conformal invariance under the assumption of the boundary strict null energy condition, which also gives a sufficient condition for the strong boundary $g$-theorem." @default.
• W2022352612 created "2016-06-24" @default.
• W2022352612 creator A5044163982 @default.
• W2022352612 date "2013-02-12" @default.
• W2022352612 modified "2023-10-02" @default.
• W2022352612 title "Is boundary conformal in CFT?" @default.
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• W2022352612 doi "https://doi.org/10.1103/physrevd.87.046005" @default.
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