Bulletin of the American Physical Society
2018 Joint Fall Meeting of the Texas Sections of APS, AAPT and Zone 13 of the SPS
Volume 63, Number 18
Friday–Saturday, October 19–20, 2018; University of Houston, Houston, Texas
Session K01: High Energy and Particle Physics III
10:00 AM–11:36 AM,
Saturday, October 20, 2018
Science and Engineering Classroom (SEC)
Room: 101
Chair: Carlos Ordonez, University of Houston
Abstract ID: BAPS.2018.TSF.K01.4
Abstract: K01.00004 : A test of holographic complexity = purification complexity.*
10:48 AM–11:00 AM
Presenter:
Stefan V Eccles
(University of Texas at Austin)
Authors:
Elena Caceres
(University of Texas at Austin)
Josiah D Couch
(University of Texas at Austin)
Stefan V Eccles
(University of Texas at Austin)
Willy Fischler
(University of Texas at Austin)
A conjectured entry into the AdS/CFT dictionary relates the circuit complexity of a boundary state to either the action on the bulk Wheeler-DeWitt patch or a maximal volume bulk slice homologous to the boundary slice. If one or both conjectures are correct, there is a plausible generalization to a duality between the same bulk quantities computed on entanglement wedges of boundary subregions, and the mixed state complexity on those subregions. However, there is no unique extension of pure state complexity to mixed state complexity. One version of this conjecture uses the “purification complexity” as a measure of mixed state complexity. We test this conjecture in the context of multi-sided eternal black hole solutions, including three-dimensional black holes with arbitrary genus in the behind-the-horizon region. We find that neither the subregion action nor subregion volume behaves entirely as expected in all contexts, suggesting that the proposal should be modified or abandoned.
*This work is supported by NSF grants PHY-1620610 and PHY-1820712.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.TSF.K01.4
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