Entanglement, free energy and C-theorem in DCFT
APA
Nishioka, T. (2019). Entanglement, free energy and C-theorem in DCFT. Perimeter Institute. https://pirsa.org/19080063
MLA
Nishioka, Tatsuma. Entanglement, free energy and C-theorem in DCFT. Perimeter Institute, Aug. 08, 2019, https://pirsa.org/19080063
BibTex
@misc{ pirsa_PIRSA:19080063, doi = {10.48660/19080063}, url = {https://pirsa.org/19080063}, author = {Nishioka, Tatsuma}, keywords = {Condensed Matter, Quantum Fields and Strings, Quantum Information}, language = {en}, title = {Entanglement, free energy and C-theorem in DCFT}, publisher = {Perimeter Institute}, year = {2019}, month = {aug}, note = {PIRSA:19080063 see, \url{https://pirsa.org}} }
University of Tokyo
Talk Type
Abstract
The g-theorem is a prominent example of C-theorems in two-dimensional boundary CFT and the extensions are conjectured to hold in higher-dimensional BCFTs. On the other hand, much less is known for C-theorems in a CFT with conformal defects of higher codimensions. I will investigate the entanglement entropy across a sphere and sphere free energy as a candidate for a C-function in DCFT, and show they differ by a universal term proportional to the vev of the stress tensor. Based on this relation, I will propose to use the sphere free energy as a C-function in DCFT. This proposal unifies the previously known theorems and conjectures, and passes several checks, including a few examples in field theories and a holographic proof in simple gravity dual models of DCFTs.