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Probabilistic correlation functions of the Schwarzian field theory

Abstract:
We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula. Moreover, we prove that these correlation functions characterise the measure uniquely. We use them to define and compute the stress‐energy tensor correlation functions, and demonstrate, in particular, that these agree with the results obtained earlier by formal differentiation of the partition function.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1112/plms.70169

Authors

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Institution:
University of Oxford
Role:
Author
ORCID:
0009-0003-9923-5247


Publisher:
Wiley
Journal:
Proceedings of the London Mathematical Society More from this journal
Volume:
132
Issue:
6
Article number:
e70169
Publication date:
2026-06-16
Acceptance date:
2026-05-21
DOI:
EISSN:
1460-244X
ISSN:
0024-6115


Language:
English
Source identifiers:
4234492
Deposit date:
2026-06-16
ARK identifier:
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