Spacetime dilaton in ${\rm AdS}_3\times X$ holography

Fuente: arXiv
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Autore principale: Sriprachyakul, Vit
Natura: Preprint
Pubblicazione: 2024
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author Sriprachyakul, Vit
author_facet Sriprachyakul, Vit
contents We study the spectrum generating operators (DDF operators) for bosonic strings and superstrings in ${\rm AdS}_3\times X$ with pure, $\textit{generic}$ NSNS flux. The dual CFT is conjectured to be a deformed symmetric orbifold of $\mathbb{R}_{\widetilde{Q}}\times X$, where $\mathbb{R}_{\widetilde{Q}}$ denotes a linear dilaton theory with slope $\widetilde{Q}$. In this paper, we construct DDF operators corresponding to the spacetime linear dilaton field in the limit where the worldsheet theory becomes free. The DDF operator gives another evidence supporting the proposed dual CFT. Furthermore, the DDF operator is constructed purely from the $\rm AdS_3$ fields and thus, strongly implies the existence of $\mathbb{R}_{\widetilde{Q}}$ for generic $X$ that defines a consistent background.
format Preprint
id arxiv_https___arxiv_org_abs_2408_13488
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spacetime dilaton in ${\rm AdS}_3\times X$ holography
Sriprachyakul, Vit
High Energy Physics - Theory
We study the spectrum generating operators (DDF operators) for bosonic strings and superstrings in ${\rm AdS}_3\times X$ with pure, $\textit{generic}$ NSNS flux. The dual CFT is conjectured to be a deformed symmetric orbifold of $\mathbb{R}_{\widetilde{Q}}\times X$, where $\mathbb{R}_{\widetilde{Q}}$ denotes a linear dilaton theory with slope $\widetilde{Q}$. In this paper, we construct DDF operators corresponding to the spacetime linear dilaton field in the limit where the worldsheet theory becomes free. The DDF operator gives another evidence supporting the proposed dual CFT. Furthermore, the DDF operator is constructed purely from the $\rm AdS_3$ fields and thus, strongly implies the existence of $\mathbb{R}_{\widetilde{Q}}$ for generic $X$ that defines a consistent background.
title Spacetime dilaton in ${\rm AdS}_3\times X$ holography
topic High Energy Physics - Theory
url https://arxiv.org/abs/2408.13488