(Non-)Conserved Currents and Cosmological Correlators

Fuente: arXiv
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Autori principali: Sleight, Charlotte, Taronna, Massimo
Natura: Preprint
Pubblicazione: 2025
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author Sleight, Charlotte
Taronna, Massimo
author_facet Sleight, Charlotte
Taronna, Massimo
contents We study the fate of global symmetries at the late-time boundary of de Sitter space. In anti-de Sitter space, bulk gauge symmetries generally correspond to conserved global currents on the boundary. We show that in de Sitter space such currents tend to acquire anomalous dimensions due to multiplet recombination with composite operators, which is a consequence of the shadow structure of the boundary operator spectrum. As a result, global symmetries are generically (weakly) broken. This mechanism is transparent in the EAdS reformulation of dS late-time correlators given in arXiv:2007.09993 and arXiv:2109.02725, where Dirichlet modes mix with composites and acquire small masses, while Neumann modes remain protected by gauge invariance. We demonstrate this mechanism explicitly in scalar QED, scalar minimally coupled to Gravity, Yang-Mills theory, and pure Einstein gravity, extracting the corresponding anomalous dimensions. We argue that it extends to higher-spin and partially massless fields.
format Preprint
id arxiv_https___arxiv_org_abs_2509_18888
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle (Non-)Conserved Currents and Cosmological Correlators
Sleight, Charlotte
Taronna, Massimo
High Energy Physics - Theory
We study the fate of global symmetries at the late-time boundary of de Sitter space. In anti-de Sitter space, bulk gauge symmetries generally correspond to conserved global currents on the boundary. We show that in de Sitter space such currents tend to acquire anomalous dimensions due to multiplet recombination with composite operators, which is a consequence of the shadow structure of the boundary operator spectrum. As a result, global symmetries are generically (weakly) broken. This mechanism is transparent in the EAdS reformulation of dS late-time correlators given in arXiv:2007.09993 and arXiv:2109.02725, where Dirichlet modes mix with composites and acquire small masses, while Neumann modes remain protected by gauge invariance. We demonstrate this mechanism explicitly in scalar QED, scalar minimally coupled to Gravity, Yang-Mills theory, and pure Einstein gravity, extracting the corresponding anomalous dimensions. We argue that it extends to higher-spin and partially massless fields.
title (Non-)Conserved Currents and Cosmological Correlators
topic High Energy Physics - Theory
url https://arxiv.org/abs/2509.18888