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A bstract We consider excited states in a CFT, obtained by applying a weak unitary perturbation to the vacuum. The perturbation is generated by the integral of a local operator J ( n ) of modular weight n over a spacelike surface passing through x = 0. For | n | ≥ 2 the modular Hamiltonian associated with a division of space at x = 0 picks up an endpoint contribution, sensitive to the details of the perturbation (including the shape of the spacelike surface) at x = 0. The endpoint contribution is a sum of light-ray moments of the perturbing operator J ( n ) and its descendants. For perturbations on null planes only moments of J ( n ) itself contribute.
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Constraining Low-luminosity Gamma-Ray Bursts as Ultra-high-energy Cosmic Ray Sources Using GRB 060218 as a Proxy
- Award ID(s):
- 1908689
- PAR ID:
- 10291138
- Date Published:
- Journal Name:
- The Astrophysical Journal
- Volume:
- 902
- Issue:
- 2
- ISSN:
- 1538-4357
- Page Range / eLocation ID:
- 148
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
-
Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.3847/1538-4357/abb60c
