| DC 欄位 |
值 |
語言 |
| DC.contributor | 物理學系 | zh_TW |
| DC.creator | 唐富一 | zh_TW |
| DC.creator | Fu-Yi Tang | en_US |
| dc.date.accessioned | 2011-7-4T07:39:07Z | |
| dc.date.available | 2011-7-4T07:39:07Z | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=972202019 | |
| dc.contributor.department | 物理學系 | zh_TW |
| DC.description | 國立中央大學 | zh_TW |
| DC.description | National Central University | en_US |
| dc.description.abstract | 我們首先回顧了Kerr黑洞在極端以及近極端的情況下與共形場論之間的對應關係。根據在共形場與在黑洞視界表面上計算出的熵是相等的，我們可以相信極端Kerr黑洞與共形場之間的確存在對應關係。更進一步藉由無質量的純量場在Kerr黑洞背景之中的散射，計算出在Kerr背景下純量場的吸收截面，與在邊界上的共形場中的兩點函數是一致的，所以Kerr黑洞在近極端的情況下與共形場之間也存在有對應關係。特別的，當無質量的純量場在頻率很低的情況下，其徑向波方程的解空間本身就含有SL(2,R)×SL(2,R)的共形對稱。我們利用這種特性研究Kerr-Newman黑洞，發現有兩種不一樣的共形場的對應關係，我們稱之為J圖像以及Q圖像。最後我們將原先在黑洞背景下計算的兩點函數推廣至三點函數，其結果與共形場中的三點函數相符。
| zh_TW |
| dc.description.abstract | We review the conjecture of Kerr/CFT correspondence in extremal and near-extremal
limit. By the matching of the CFT (Cardy formula) and black hole (Bekenstein-
Hawking formula) entropies, the conjecture of extreme Kerr/CFT correspondence is
confirmed. From the scattering of scalar field near the superradiance region in kerr
geometry, the matching of the absorption cross section and the finite-temperature
two-point function of dual CFT operator also implies the validity of near-extreme
Kerr/CFT correspondence. Moreover, for generic Kerr black holes, the SL(2, R) ×
SL(2, R) conformal symmetry can be obtained in the solution space of the radial wave
equation at low frequency. The black hole/CFT can be extended to the Kerr-Newman
(KN) black holes in which there are two individual pictures of dual CFT description,
called J- and Q-pictures. Finally we discuss the generalization the computation of two-
point function to the three-point function by assuming that there is a cubic interaction
in the bulk geometry. The three-point functions in both J- and Q-pictures of KN
geometry have a divergent term in the bulk integration near the boundary region. It
is consistent with the CFT finite-temperature three-point function.
| en_US |
| DC.subject | 三點關聯函數 | zh_TW |
| DC.subject | AdS/CFT對偶 | zh_TW |
| DC.subject | 黑洞全像原理 | zh_TW |
| DC.subject | 黑洞 | zh_TW |
| DC.subject | Holographic principle | en_US |
| DC.subject | black hole | en_US |
| DC.subject | AdS/CFT correspondence | en_US |
| DC.subject | Three-point correlators | en_US |
| DC.title | 克爾-紐曼/共形場中的三點關聯函數 | zh_TW |
| dc.language.iso | zh-TW | zh-TW |
| DC.title | Three-point correlators in Kerr-Newman/CFTs | en_US |
| DC.type | 博碩士論文 | zh_TW |
| DC.type | thesis | en_US |
| DC.publisher | National Central University | en_US |