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Bc. Stanislav Kováč

Master's thesis

Virasoro Symmetry in Asymptotically 2+1 Dimensional Anti-de-Sitter Spaces

Virasoro Symmetry in Asymptotically 2+1 Dimensional Anti-de-Sitter Spaces
Abstract:
V této diplomové práci se věnujeme Hamiltonovské verzi obecné teorie relativity. Pak pomocí tohoto formalismu, na základě práce M. Henneauxe a J. Browna z roku 1986, odvodíme existenci podobnosti mezi Hamiltonovou obecnou teorií relativity na anti-de-Sitterových prostorech a konformní teorií pole. Tato podobnost se ukáže, když se analyzují komutační relace Diracových závorek mezi generátory symetríí …more
Abstract:
In this thesis we study a Hamiltonian (ADM) formulation of General relativity. By this formalismus, on the basis of a seminal paper from 1986 by Brown and Henneaux, we rederive the correspondence between Hamiltonian general theory of relativity on 3D anti-de-Sitter spaces with 2D conformal field theory. This correspondence will emerge as a result of an analysis of the commutation relations in Dirac …more
 

Keywords

ADM Centrální náboj AdS/CFT correspondence Virasoro algebra Central Charges AdS/CFT correspondence.
 
Language used: English
Date on which the thesis was submitted / produced: 27. 9. 2013
Identifier: https://is.muni.cz/th/mq2h6/

Thesis defence

  • Date of defence: 7. 2. 2014
  • Supervisor: Ph.D. Klaus Bering Larsen

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Institution archiving the thesis and making it accessible: Masarykova univerzita, Přírodovědecká fakulta
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Masaryk University

Faculty of Science

Master programme / field:
Physics / Theoretical Physics and Astrophysics

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