Algebra of diffeomorphism-invariant observables in Jackiw-Teitelboim gravity
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13130_2022_Article_18385.pdf
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1.16 MB
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Author(s)
Harlow, Daniel
Wu, Jie-qiang
Date Issued
May 2022
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
Journal of High Energy Physics. 2022 May 16;2022(5):97
Version
Final published version
Abstract
Abstract
In this paper we use the covariant Peierls bracket to compute the algebra of a sizable number of diffeomorphism-invariant observables in classical Jackiw-Teitelboim gravity coupled to fairly arbitrary matter. We then show that many recent results, including the construction of traversable wormholes, the existence of a family of SL(2, ℝ) algebras acting on the matter fields, and the calculation of the scrambling time, can be recast as simple consequences of this algebra. We also use it to clarify the question of when the creation of an excitation deep in the bulk increases or decreases the boundary energy, which is of crucial importance for the “typical state” versions of the firewall paradox. Unlike the “Schwarzian” or “boundary particle” formalism, our techniques involve no unphysical degrees of freedom and naturally generalize to higher dimensions. We do a few higher-dimensional calculations to illustrate this, which indicate that the results we obtain in JT gravity are fairly robust.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP05(2022)097
