ACCELERATING KERR-NEWMAN-NUT/ CONFORMAL FIELD THEORY CORRESPONDENCE
The holographic principle relates quantum theory of gravity to quantum field theory in fewer dimensions. In the last decade, one study about the application of holographic principle to black holes is the Kerr/conformal field theory (CFT) correspondence, which conjectured that Kerr extreme black h...
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id-itb.:393042019-06-25T13:56:56ZACCELERATING KERR-NEWMAN-NUT/ CONFORMAL FIELD THEORY CORRESPONDENCE Irawan, Andika Indonesia Theses Virasoro Algebra, central charge, Cardy entropy. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/39304 The holographic principle relates quantum theory of gravity to quantum field theory in fewer dimensions. In the last decade, one study about the application of holographic principle to black holes is the Kerr/conformal field theory (CFT) correspondence, which conjectured that Kerr extreme black hole is holographically dual to a two-dimensional CFT. In this thesis, the correspondence was considered to the accelerating Kerr-Newman-NUT black hole/CFT. The study was focused on extreme black hole which satisfy SL(2,R) × U(1) isometry group. It posessed a curved space-time in the asymptotic which satisfy the asymptotic symmetry group (ASG). The commutation of the generators were satisfying Virasoro algebra that contains a central charge. On the other hand, Virasoro algebra exists in the formulation of conformal field theory, it leads to the correspondence between black holes and conformal field theory. Thus, the thermodynamic aspects of black hole such as temperature and entropy can be studied microscopically in succession using the Frolov-Thorne vacuum state and the Cardy formula, rather than macroscopically using the Bekenstein-Hawking formulation. The calculations in this study were carried out analytically so that the result of Bekenstein-Hawking entropy agreed to the Cardy entropy. text |
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The holographic principle relates quantum theory of gravity to quantum field
theory in fewer dimensions. In the last decade, one study about the application of
holographic principle to black holes is the Kerr/conformal field theory (CFT)
correspondence, which conjectured that Kerr extreme black hole is
holographically dual to a two-dimensional CFT. In this thesis, the correspondence
was considered to the accelerating Kerr-Newman-NUT black hole/CFT. The study
was focused on extreme black hole which satisfy SL(2,R) × U(1) isometry group.
It posessed a curved space-time in the asymptotic which satisfy the asymptotic
symmetry group (ASG). The commutation of the generators were satisfying
Virasoro algebra that contains a central charge. On the other hand, Virasoro
algebra exists in the formulation of conformal field theory, it leads to the
correspondence between black holes and conformal field theory. Thus, the
thermodynamic aspects of black hole such as temperature and entropy can be
studied microscopically in succession using the Frolov-Thorne vacuum state and
the Cardy formula, rather than macroscopically using the Bekenstein-Hawking
formulation. The calculations in this study were carried out analytically so that the
result of Bekenstein-Hawking entropy agreed to the Cardy entropy. |
format |
Theses |
author |
Irawan, Andika |
spellingShingle |
Irawan, Andika ACCELERATING KERR-NEWMAN-NUT/ CONFORMAL FIELD THEORY CORRESPONDENCE |
author_facet |
Irawan, Andika |
author_sort |
Irawan, Andika |
title |
ACCELERATING KERR-NEWMAN-NUT/ CONFORMAL FIELD THEORY CORRESPONDENCE |
title_short |
ACCELERATING KERR-NEWMAN-NUT/ CONFORMAL FIELD THEORY CORRESPONDENCE |
title_full |
ACCELERATING KERR-NEWMAN-NUT/ CONFORMAL FIELD THEORY CORRESPONDENCE |
title_fullStr |
ACCELERATING KERR-NEWMAN-NUT/ CONFORMAL FIELD THEORY CORRESPONDENCE |
title_full_unstemmed |
ACCELERATING KERR-NEWMAN-NUT/ CONFORMAL FIELD THEORY CORRESPONDENCE |
title_sort |
accelerating kerr-newman-nut/ conformal field theory correspondence |
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https://digilib.itb.ac.id/gdl/view/39304 |
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