Universality of effective central charge in interface CFTs
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1.
The University of Texas at Austin
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2.
California Institute of Technology
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3.
RIKEN
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4.
Kavli Institute for the Physics and Mathematics of the Universe
Abstract
When an interface connects two CFTs, the entanglement entropy between the two CFTs is determined by a quantity called the effective central charge. The effective central charge does not have a simple form in terms of the central charges of the two CFTs, but intricately depends on the transmissive properties of the interface. In this article, we examine universal properties of the effective central charge. We first clarify how the effective central charge appears when considering general subsystems of the interface CFT. Then using this result and ideas used in the proof of the c-theorem, we provide a universal upper bound on the effective central charge. In past studies, the effective central charge was defined only in two dimensions. We propose an analogue of the effective central charge in general dimensions possessing similar universal properties as in two dimensions.
Copyright and License
©The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Acknowledgement
We thank Constantin Bachas, Horacio Casini, and Gonzalo Torroba for useful discussions. AK, HS, and MW are supported in part by the U.S. Department of Energy under Grant No. DE-SC0022021 and a grant from the Simons Foundation (Grant 651440, AK). The work by YK and HO is supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. In addition, YK is supported by the Brinson Prize Fellowship at Caltech. HO is supported in part by the Simons Investigator Award (MP-SIP-00005259), the World Premier International Research Center Initiative, MEXT, Japan, and JSPS Grants-in-Aid for Scientific Research 20K03965 and 23K03379. This work was performed in part at the Aspen Center for Physics, which is supported by NSF grant PHY-1607611.
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2308.05436 (arXiv)
Funding
- United States Department of Energy
- DE-SC0022021
- Simons Foundation
- 651440
- United States Department of Energy
- DE-SC0011632
- California Institute of Technology
- Brinson Prize Fellowship -
- Simons Foundation
- MP-SIP-00005259
- Ministry of Education, Culture, Sports, Science and Technology
- Japan Society for the Promotion of Science
- 20K03965
- Japan Society for the Promotion of Science
- 23K03379
- National Science Foundation
- PHY-1607611
- SCOAP3
Dates
- Accepted
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2023-11-11
- Available
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2023-11-20Published online