Massive fields and Wilson spools in JT gravity
arXiv:2503.08657 · doi:10.21468/SciPostPhys.19.3.065
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 and on Euclidean AdS. 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.
25 pages + appendices; one sphere, one disc, one trumpet, one cone, one football
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