On AdS$_3$/ICFT$_2$ with a dynamical scalar field located on the brane

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Hauptverfasser: Liu, Yan, Lyu, Hong-Da, Wang, Chuan-Yi
Format: Preprint
Veröffentlicht: 2024
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author Liu, Yan
Lyu, Hong-Da
Wang, Chuan-Yi
author_facet Liu, Yan
Lyu, Hong-Da
Wang, Chuan-Yi
contents We exploit holographic duality to study the system of a one-dimensional interface contacting two semi-infinite two-dimensional CFTs. Central to our investigation is the introduction of a dynamical scalar field located on the bulk interface brane which breaks the scaling symmetry of the dual interface field theory, along with its consequential backreaction on the system. We define an interface entropy from holographic entanglement entropy. At zero temperature we construct several illustrative examples and observe that the $g$-theorem is always satisfied. These examples also reveal distinct features of the interface entropy that are intricately linked to the scalar potential profiles. At finite temperature we find that the dynamical scalar field enables the bulk theory to have new configurations which would be infeasible solely with a tension term on the interface brane.
format Preprint
id arxiv_https___arxiv_org_abs_2403_20102
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On AdS$_3$/ICFT$_2$ with a dynamical scalar field located on the brane
Liu, Yan
Lyu, Hong-Da
Wang, Chuan-Yi
High Energy Physics - Theory
Strongly Correlated Electrons
General Relativity and Quantum Cosmology
We exploit holographic duality to study the system of a one-dimensional interface contacting two semi-infinite two-dimensional CFTs. Central to our investigation is the introduction of a dynamical scalar field located on the bulk interface brane which breaks the scaling symmetry of the dual interface field theory, along with its consequential backreaction on the system. We define an interface entropy from holographic entanglement entropy. At zero temperature we construct several illustrative examples and observe that the $g$-theorem is always satisfied. These examples also reveal distinct features of the interface entropy that are intricately linked to the scalar potential profiles. At finite temperature we find that the dynamical scalar field enables the bulk theory to have new configurations which would be infeasible solely with a tension term on the interface brane.
title On AdS$_3$/ICFT$_2$ with a dynamical scalar field located on the brane
topic High Energy Physics - Theory
Strongly Correlated Electrons
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2403.20102