Abstract
We provide the first example of local quantum energy conditions in quantum field theories that are not Lorentz invariant. We focus on field theories in two dimensions with infinite-dimensional symmetries, like the ones governed by the Bondi-van der Burg-Metzner-Sachs group that appear in the context of flat space holography. Reminiscent of holographic results on the quantum null energy condition, we prove that our new energy conditions saturate for states in the field theory that are dual to vacuum solutions of three-dimensional Einstein gravity with a vanishing cosmological constant.
Highlights
Introduction.—Among the various local energy conditions the quantum null energy condition (QNEC) [1] has attracted a considerable amount of interest over recent years [2,3,4,5,6,7,8,9] including various proofs [10,11,12]
We provide the first example of local quantum energy conditions in quantum field theories that are not Lorentz invariant
We focus on field theories in two dimensions with infinite-dimensional symmetries, like the ones governed by the Bondi–van der Burg–Metzner–Sachs group that appear in the context of flat space holography
Summary
Introduction.—Among the various local energy conditions the quantum null energy condition (QNEC) [1] has attracted a considerable amount of interest over recent years [2,3,4,5,6,7,8,9] including various proofs [10,11,12]. We provide the first example of local quantum energy conditions in quantum field theories that are not Lorentz invariant.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
