Scholarlink

<p>In this paper, we study the time-dependent dynamics of an end-of-the-world (EOW) brane in AdS with a scalar field localized on the brane. We mainly studied several aspects of holography and cosmology. Standard requirements in the AdS<sub><i>d</i>+1</sub>/CFT<sub><i>d</i></sub> lead to a constraint on the conformal dimension in the dS<sub><i>d</i></sub>/CFT<sub><i>d</i>−1</sub>. We also prove a time-like analog of g-theorem using the null energy condition in the context of AdS<sub>3</sub>/BCFT<sub>2</sub>. In the cosmological interpretation, we rewrite the equation of motion of the brane as a Friedman-like equation, which enables us to consider its dynamics in analogy with the ordinal cosmology. And then we classify all possible solutions of the brane when the potential takes a constant value. We find that our brane cosmology model can describe a process of creating a universe via a big-bang. Additionally, we show that when the brane is close to a hyperplane, its effective action is given by a Liouville gravity with a scalar field matter. Finally, we also obtain brane solutions with boost symmetry, which are obtained by analytical continuation of Euclidean branes with a torus topology.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Brane cosmology from AdS/BCFT

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月18日

查看全文
  • Kosei Fujiki,
  • Hiroki Kanda,
  • Michitaka Kohara,
  • Tadashi Takayanagi

摘要

In this paper, we study the time-dependent dynamics of an end-of-the-world (EOW) brane in AdS with a scalar field localized on the brane. We mainly studied several aspects of holography and cosmology. Standard requirements in the AdSd+1/CFTd lead to a constraint on the conformal dimension in the dSd/CFTd−1. We also prove a time-like analog of g-theorem using the null energy condition in the context of AdS3/BCFT2. In the cosmological interpretation, we rewrite the equation of motion of the brane as a Friedman-like equation, which enables us to consider its dynamics in analogy with the ordinal cosmology. And then we classify all possible solutions of the brane when the potential takes a constant value. We find that our brane cosmology model can describe a process of creating a universe via a big-bang. Additionally, we show that when the brane is close to a hyperplane, its effective action is given by a Liouville gravity with a scalar field matter. Finally, we also obtain brane solutions with boost symmetry, which are obtained by analytical continuation of Euclidean branes with a torus topology.