Massive fields and Wilson spools in JT gravity

Fuente: arXiv
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Autor principal: Fliss, Jackson R.
Formato: Preprint
Publicado: 2025
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author Fliss, Jackson R.
author_facet Fliss, Jackson R.
contents We give a prescription for minimally coupling massive matter to JT gravity with either sign of cosmological constant directly in its formulation as a topological BF theory. This coupling takes the form of a `Wilson spool,' originally introduced in the context of three-dimensional gravity. The Wilson spool expresses the exact one-loop partition function as the integral over a Wilson loop operator. We construct the spool by considering the partition function of a massive scalar field on Euclidean dS$_2$ and on Euclidean AdS$_2$. We discuss its extension to other geometries (including the `trumpet' and conical defect geometries) and its relation to the three-dimensional spool through dimensional reduction.
format Preprint
id arxiv_https___arxiv_org_abs_2503_08657
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Massive fields and Wilson spools in JT gravity
Fliss, Jackson R.
High Energy Physics - Theory
We give a prescription for minimally coupling massive matter to JT gravity with either sign of cosmological constant directly in its formulation as a topological BF theory. This coupling takes the form of a `Wilson spool,' originally introduced in the context of three-dimensional gravity. The Wilson spool expresses the exact one-loop partition function as the integral over a Wilson loop operator. We construct the spool by considering the partition function of a massive scalar field on Euclidean dS$_2$ and on Euclidean AdS$_2$. We discuss its extension to other geometries (including the `trumpet' and conical defect geometries) and its relation to the three-dimensional spool through dimensional reduction.
title Massive fields and Wilson spools in JT gravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.08657