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Callebaut, Nele and Lifschytz, Gilad (2022). Reconstructing bulk equation of motion using CFT modular Hamiltonians. J. High Energy Phys. (8). NEW YORK: SPRINGER. ISSN 1029-8479

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Abstract

In the framework of bulk reconstruction, we elucidate the relationship between the action of CFT modular Hamiltonians on bulk operators, the possible equation of motion for the bulk operators, and the charge distribution at infinity corresponding to such bulk fields. In particular for scalar fields interacting with gravity or with gauge fields, we show how CFT considerations of the action of the modular Hamiltonian constrain the possible bulk equation of motion to be consistent with bulk gauge invariance and diffeomorphism invariance. In fact we show that requiring that the action of the modular Hamiltonian on a dressed bulk scalar operator be compatible with some unknown simple equation of motion, fixes, under reasonable assumptions, both the equation of motion and the action of the modular Hamiltonian once the first order 1/N terms are known.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Callebaut, Nele UNSPECIFIED UNSPECIFIED UNSPECIFIED Lifschytz, Gilad UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-666742
DOI:	10.1007/JHEP08(2022)289
Journal or Publication Title:	J. High Energy Phys.
Number:	8
Date:	2022
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1029-8479
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Physics, Particles & Fields Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66674