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 - 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
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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 -