Abstract
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.
| Original language | English (US) |
|---|---|
| Article number | 45 |
| Journal | Journal of High Energy Physics |
| Volume | 2019 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 1 2019 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Keywords
- 2D Gravity
- ArXiv ePrint: 1808.05583
- Conformal Field Theory
- Field Theories in Lower Dimensions
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