### Abstract

We explore the construction of the dual bulk theory in the flow equation approach. We compute the vacuum expectation value of the Einstein operator at the next-To-leading order in the $1/n$ expansion using a free O($n$) vector model. We interpret the next-To-leading correction as the quantum correction to the cosmological constant of the anti-de Sitter space. We finally comment on how to generalize this computation to matrix elements of the Einstein operator for excited states.

Original language | English |
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Article number | 043B06 |

Journal | Progress of Theoretical and Experimental Physics |

Volume | 2019 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 1 2019 |

### Keywords

- B21

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Aoki, S., Balog, J., & Yokoyama, S. (2019). Holographic computation of quantum corrections to the bulk cosmological constant.

*Progress of Theoretical and Experimental Physics*,*2019*(4), [043B06]. https://doi.org/10.1093/ptep/ptz026