• Login
    View Item 
    •   Home
    • Theses & Dissertations
    • 2018 - Mines Theses & Dissertations
    • View Item
    •   Home
    • Theses & Dissertations
    • 2018 - Mines Theses & Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of Mines RepositoryCommunitiesPublication DateAuthorsTitlesSubjectsThis CollectionPublication DateAuthorsTitlesSubjects

    My Account

    Login

    Mines Links

    Arthur Lakes LibraryColorado School of Mines

    Statistics

    Display Statistics

    Observer dependence in holographic entanglement entropy

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    Polonsky_mines_0052N_11510.pdf
    Size:
    1.093Mb
    Format:
    PDF
    Download
    Author
    Polonsky, Zachary A.
    Advisor
    Squier, Jeff A.
    Flournoy, Alex
    Date issued
    2018
    Keywords
    holographic entanglement entropy
    AdS/CFT correspondence
    topological black hole
    
    Metadata
    Show full item record
    URI
    https://hdl.handle.net/11124/172338
    Abstract
    The Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence conjectures a duality between gravitational theories in asymptotically Anti-de Sitter (AdS) spacetimes and non-gravitational quantum conformal field theories (CFTs) defined on the boundary of the gravitational spacetimes. This correspondence provides strong evidence for the holographic nature of gravity while also giving insight into the relationship between gravity and quantum mechanics. These ideas have been sharpened by the holographic entanglement entropy results of Ryu, Takayanagi, Rangamani, and Hubeny. However, most holographic entanglement entropy results are restricted to the technically simple setting of (2 + 1)-dimensional gravity. These have suggested a distinct relationship between thermal entropy of black holes in the gravitational theory and entanglement entropy corresponding to thermal states in the CFT. In higher dimensions, there exist black holes whose event horizon area (and seemingly thermal properties) are highly observer dependent. We find that, although this observer dependence does not carry over to the holographic entanglement entropy, there is an indication of a coordinate system which is best adapted for the holographic calculation. These coordinates only cover two regions of the spacetime which exactly correspond to the regions of the CFT on which particle modes are well defined and so we see that the holographic calculation in the spacetime is capable of predicting parts of the CFT where particles cannot exist.
    Rights
    Copyright of the original work is retained by the author.
    Collections
    2018 - Mines Theses & Dissertations

    entitlement

     
    DSpace software (copyright © 2002 - 2023)  DuraSpace
    Quick Guide | Contact Us
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.