Universal Bound on Effective Central Charge and Its Saturation
The effective central charge (denoted by c_{eff}) is a measure of entanglement through a conformal interface, while the transmission coefficient (encoded in the coefficient c_{LR} of the two-point function of the energy-momentum tensor across the interface) is a measure of energy transmission through the interface. It has been pointed out that these two are generally different. In this Letter, we propose the inequalities, 0≤c_{LR}≤c_{eff}≤min(c_{L},c_{R}). They have the simple but important implication that the amount of energy transmission can never exceed the amount of information transmission. We verify them using the AdS/CFT correspondence, using the perturbation method, and in examples beyond holography. We also show that these inequalities are sharp by constructing a class of interfaces that saturate them.
Authors
- Hirosi Ooguri (ORCID: https://orcid.org/0000-0001-6021-3778)
- Yuya Kusuki (ORCID: https://orcid.org/0000-0002-9784-0975)
- Mianqi Wang (ORCID: https://orcid.org/0009-0005-9804-4849)
- Hao-Yu Sun (ORCID: https://orcid.org/0000-0002-7211-3704)
- Andreas Karch (ORCID: https://orcid.org/0000-0002-5725-2124)
Institutions
- California Institute of Technology (US)
- Kyushu University (JP)
- Kavli Institute for the Physics and Mathematics of the Universe (JP)
- RIKEN (JP)
- The University of Tokyo (JP)
- The University of Texas at Austin (US)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2024-08-30
- DOI
- https://doi.org/10.1103/physrevlett.133.091604
- Citations
- 13
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 8.58
Funders
- National Science Foundation
- U.S. Department of Energy
- Simons Foundation
- Aspen Center for Physics
- Ministry of Education, Culture, Sports, Science and Technology
- Office of Science
- Japan Society for the Promotion of Science
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara
- High Energy Physics