Holographic Interfaces in Symmetric Product Orbifolds

Fuente: arXiv
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Autori principali: Harris, Sebastian, Hikida, Yasuaki, Schomerus, Volker, Tsuda, Takashi
Natura: Preprint
Pubblicazione: 2025
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author Harris, Sebastian
Hikida, Yasuaki
Schomerus, Volker
Tsuda, Takashi
author_facet Harris, Sebastian
Hikida, Yasuaki
Schomerus, Volker
Tsuda, Takashi
contents The study of non-local operators in gauge theory and holography, such as line-operators or interfaces, has attracted significant attention. Two-dimensional symmetric product orbifolds are close cousins of higher-dimensional gauge theory. In this work, we construct a novel family of interfaces in symmetric product orbifolds. These may be regarded as two-dimensional analogues of Wilson-line operators or Karch-Randall interfaces at the same time. The construction of the interfaces entails the choice of boundary conditions of the seed theory. For a generic seed theory, we construct the boundary states associated to the interfaces via the folding trick, compute their overlaps and extract the spectrum of interface changing operators through modular transformation. Then, we specialise to the supersymmetric four-torus $\mathbb{T}^4$ and show that the corresponding interfaces of the symmetric product orbifold are dual to $AdS_2$ branes in the tensionless limit of type IIB superstring theory on $AdS_3 \times S^3 \times \mathbb{T}^4$.
format Preprint
id arxiv_https___arxiv_org_abs_2504_00078
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holographic Interfaces in Symmetric Product Orbifolds
Harris, Sebastian
Hikida, Yasuaki
Schomerus, Volker
Tsuda, Takashi
High Energy Physics - Theory
The study of non-local operators in gauge theory and holography, such as line-operators or interfaces, has attracted significant attention. Two-dimensional symmetric product orbifolds are close cousins of higher-dimensional gauge theory. In this work, we construct a novel family of interfaces in symmetric product orbifolds. These may be regarded as two-dimensional analogues of Wilson-line operators or Karch-Randall interfaces at the same time. The construction of the interfaces entails the choice of boundary conditions of the seed theory. For a generic seed theory, we construct the boundary states associated to the interfaces via the folding trick, compute their overlaps and extract the spectrum of interface changing operators through modular transformation. Then, we specialise to the supersymmetric four-torus $\mathbb{T}^4$ and show that the corresponding interfaces of the symmetric product orbifold are dual to $AdS_2$ branes in the tensionless limit of type IIB superstring theory on $AdS_3 \times S^3 \times \mathbb{T}^4$.
title Holographic Interfaces in Symmetric Product Orbifolds
topic High Energy Physics - Theory
url https://arxiv.org/abs/2504.00078