Date&Time | Wed Apr 28 2021 (10:30 - 11:30) |
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Speaker | Masamichi Miyaji |

Affiliation | UC Berkley |

Title | Spectrum of End of the World Branes in Holographic BCFTs |

Abstract | 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 by h_{AB}^{min}, where h_{AB}^{min} is the lowest energy of open strings which connect two different boundaries A and B. Our gravity dual analysis leads to h_{AB}^{min}=c/24 for a pure AdS 3d 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_{AB}^{min} 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. We will also discuss some applications of this gapped spectrum. |

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