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Entanglement Entropy and AdS/CFT

Bar, Koushik (2018) Entanglement Entropy and AdS/CFT. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    These features the study of conformal quantum field theories, in dimensions greater than two dimension and very special case of two dimensions. Over the last two decades, the understanding and mathematical formulation of such theories has developed to a very mature state, and conformal field theory (CFT) has in uenced both mathematics and physics. As such, it can be considered a prototype example for a constructive interplay between these two subjects. The main feature of a conformal field theory is the invariance under conformal transformations. We also review the development in the field of entanglement entropy, the holographic aspect of it, and the AdS/CFT conjuncture. Describe the Ruy-Takayangai conjecture of Entanglement Entropy and study the reconstruction of the AdS metric using the same for two different case, which are, 1+1 CFT in Infinite Line, and 1+1 CFT in compact circle.

    Item Type: Thesis (Masters)
    Additional Information: Supervisors: Dr. Sunandan Gangopadhyay and Prof. P.K Panigrahi
    Uncontrolled Keywords: AdS/CFT Correspondence; Conformal Field Theory; Entanglement Entropy; Radial Quantization
    Subjects: Q Science > QC Physics
    Divisions: Department of Physical Sciences
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 13 Dec 2018 11:01
    Last Modified: 13 Dec 2018 11:02
    URI: http://eprints.iiserkol.ac.in/id/eprint/774

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