Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
arXiv:1803.08627 · doi:10.1103/PhysRevD.98.066005
Abstract
Using the volume of the space enclosed by the Ryu-Takayanagi (RT) surface, we study the complexity of the disk-shape subregion (with radius R) in various (2+1)-dimensional gapped systems with gravity dual. These systems include a class of toy models with singular IR and the bottom-up models for quantum chromodynamics and fractional quantum Hall effects. Two main results are: i) in the large-R expansion of the complexity, the R-linear term is always absent, similar to the absence of topological entanglement entropy; ii) when the entanglement entropy exhibits the classic `swallowtail' phase transition, the complexity is sensitive but reacts differently.
arXiv comment30 pages, 7 figures, revised version accepted for publication in PRD
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