TY - JOUR
T1 - Entanglement dynamics in 2D CFT with boundary
T2 - entropic origin of JT gravity and Schwarzian QM
AU - Callebaut, Nele
AU - Verlinde, Herman
N1 - Funding Information:
We thank Jan de Boer, Bartek Czech, Dan Harlow, Aitor Lewkowycz, Thomas Mertens, Douglas Stanford, Joaquin Turiaci and Zhenbin Yang for useful discussions and comments. The research of H.V. is supported by NSF grant PHY-1620059. N.C. is supported by the Research Foundation-Flanders (FWO Vlaanderen).
Publisher Copyright:
© 2019, The Author(s).
PY - 2019/5/1
Y1 - 2019/5/1
N2 - We study the dynamics of the geometric entanglement entropy of a 2D CFT in the presence of a boundary. We show that this dynamics is governed by local equations of motion, that take the same form as 2D Jackiw-Teitelboim gravity coupled to the CFT. If we assume that the boundary has a small thickness ϵ and constant boundary entropy, we derive that its location satisfies the equations of motion of Schwarzian quantum mechanics with coupling constant C = c ϵ/12π. We rederive this result via energy-momentum conservation.
AB - We study the dynamics of the geometric entanglement entropy of a 2D CFT in the presence of a boundary. We show that this dynamics is governed by local equations of motion, that take the same form as 2D Jackiw-Teitelboim gravity coupled to the CFT. If we assume that the boundary has a small thickness ϵ and constant boundary entropy, we derive that its location satisfies the equations of motion of Schwarzian quantum mechanics with coupling constant C = c ϵ/12π. We rederive this result via energy-momentum conservation.
KW - 2D Gravity
KW - ArXiv ePrint: 1808.05583
KW - Conformal Field Theory
KW - Field Theories in Lower Dimensions
UR - http://www.scopus.com/inward/record.url?scp=85065655229&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85065655229&partnerID=8YFLogxK
U2 - 10.1007/JHEP05(2019)045
DO - 10.1007/JHEP05(2019)045
M3 - Article
AN - SCOPUS:85065655229
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 5
M1 - 45
ER -