Entropy Variations and Light Ray Operators from Replica Defects
APA
Chandrasekaran, V. (2020). Entropy Variations and Light Ray Operators from Replica Defects. Perimeter Institute. https://pirsa.org/20020061
MLA
Chandrasekaran, Venkatesa. Entropy Variations and Light Ray Operators from Replica Defects. Perimeter Institute, Feb. 18, 2020, https://pirsa.org/20020061
BibTex
@misc{ pirsa_PIRSA:20020061, doi = {10.48660/20020061}, url = {https://pirsa.org/20020061}, author = {Chandrasekaran, Venkatesa}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Entropy Variations and Light Ray Operators from Replica Defects}, publisher = {Perimeter Institute}, year = {2020}, month = {feb}, note = {PIRSA:20020061 see, \url{https://pirsa.org}} }
We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica methods. We show that as n approaches 1 a contact term can emerge when the OPE contains defect operators of twist d−2. For interacting theories and general states we give evidence that the only possibility is from the defect operator that becomes the stress tensor in the n→1 limit. This implies that the quantum null energy condition (QNEC) is always saturated for CFTs with a twist gap. As a check, we show independently that in a large class of near vacuum states, the second variation of the entanglement entropy is given by a simple correlation function of averaged null energy operators as studied by Hofman and Maldacena. This suggests that sub-leading terms in the the defect OPE are controlled by a defect version of the spin-3 non-local light ray operator and we speculate about the possible origin of such a defect operator. For free theories this contribution condenses to a contact term that leads to violations of QNEC saturation.