Massive fields and Wilson spools in JT gravity

Abstract

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.

arXiv comment25 pages + appendices; one sphere, one disc, one trumpet, one cone, one football

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Cited by in corpus (1)

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