Universal Bound on Effective Central Charge and Its Saturation
Year: 2024
Type: article
Abstract: 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.
Source: Physical Review Letters
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,750
Funders: National Science Foundation, U.S. Department of Energy, Simons Foundation, California Institute of Technology, 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
Awards: G1099677550, G130463927, G1418946953, Distance Conjecture in Quantum Gravity, G2229954460, G2432923657, G3398237449, G4689434848, RESEARCH ACCOMPLISHMENTS AND GOALS OF THE THEORETICAL HIGH ENERGY PHYSICS GROUP, COSMOLOGY, STRINGS, AND ASTROPARTICLE PHYSICS, G694171312, Kavli Institute for Theoretical Physics, 共形ブートストラップを応用した量子重力・量子多体系の解明, Programs on Critical Problems in Physics, Astrophysics and Biophysics at the Aspen Center for Physics, RESEARCH ACCOMPLISHMENTS AND GOALS OF THE THEORETICAL HIGH ENERGY PHYSICS GROUP, G8420134524
OpenAlex ID: W4402048703