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Multiway Junction Conditions for Spacetimes with Multiple Boundaries.
Phys Rev Lett
September 2024
The Kavli Institute for Astronomy and Astrophysics, Peking University, Beijing 100871, China.
We explore the construction of gluing together an arbitrary number of spacetimes along a common interface. This provides a general tool to construct new gravitational backgrounds with multiple boundaries. We derive junction conditions across the interface, in both Einstein gravity and dilaton gravity, using two methods (1) by developing a geometrical technique of introducing an auxiliary reverse extension manifold and (2) by the variational principle.
View Article and Find Full Text PDFCFT Correlators and Mapping Class Group Averages.
Commun Math Phys
October 2024
Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, Hamburg, 20146 Germany.
Mapping class group averages appear in the study of 3D gravity partition functions. In this paper, we work with 3D topological field theories to establish a bulk-boundary correspondence between such averages and correlators of 2D rational CFTs whose chiral mapping class group representations are irreducible and satisfy a finiteness property. We show that Ising-type modular fusion categories satisfy these properties on surfaces with or without field insertions, extending results in [1], and we comment on the absence of invertible global symmetries in the examples we consider.
View Article and Find Full Text PDFAge-related arterial dysfunction in the brain may precede Parkinson's disease and other types of dementia, reflecting a failure to release gravitational ischemia.
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Department of Medicine, London Corporation, London, United Kingdom.
Spaceflight-Associated Neuro-Ocular Syndrome and Idiopathic Intracranial Hypertension: Can Anemia and Hyperemia Underlie Both?
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