Journal
PHYSICAL REVIEW LETTERS
Volume 122, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.122.241602
Keywords
-
Categories
Funding
- Department of Energy [DE-SC0013682]
- STFC [ST/L000296/1]
- STFC [ST/P000711/1, ST/L000296/1] Funding Source: UKRI
Ask authors/readers for more resources
We study whether the relations between the Wcyl anomaly, entanglement entropy (EE), and thermal entropy of a two-dimensional (2D) conformal field theory (CFT) extend to 2D boundaries of 3D CFTs, or 2D defects of D >= 3 CFTs. The Weyl anomaly of a 2D boundary or defect defines two or three central charges, respectively. One of these, b, obeys a c theorem, as in 2D CFT. For a 2D defect, we show that another, d(2), interpreted as the defect's conformal dimension, must be non-negative if the averaged null energy condition holds in the presence of the defect. We show that the EE of a sphere centered on a planar defect has a logarithmic contribution from the defect fixed by b and d(2). Using this and known holographic results, we compute b and d(2) for 1/2-Bogomol'nyi-Prasad-Sommerfield surface operators in the maximally supersymmetric (SUSY) 4D and 6D CFTs. The results are consistent with b's c theorem. Via free field and holographic examples we show that no universal Cardy formula relates the central charges to thermal entropy.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available