Cutoff Dependence and Complexity of the CFT$_2$ Ground State
| Autor: | Chen, Bowen, Czech, Bartlomiej, Wang, Zi-zhi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 103, 026015 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.103.026015 |
| Popis: | We present the vacuum of a two-dimensional conformal field theory (CFT$_2$) as a network of Wilson lines in $SL(2,\mathbb{R}) \times SL(2,\mathbb{R})$ Chern-Simons theory, which is conventionally used to study gravity in three-dimensional anti-de Sitter space (AdS$_3$). The position and shape of the network encode the cutoff scale at which the ground state density operator is defined. A general argument suggests identifying the `density of complexity' of this network with the extrinsic curvature of the cutoff surface in AdS$_3$, which by the Gauss-Bonnet theorem agrees with the holographic Complexity = Volume proposal. Comment: 4 pages, 1 figure |
| Databáze: | arXiv |
| Externí odkaz: |
|