On 3d bulk geometry of Virasoro coadjoint orbits: orbit invariant charges and Virasoro hair on locally AdS(3) geometries

doi:http://dx.doi.org/10.1140/epjc/s10052-016-4326-z

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	On 3d bulk geometry of Virasoro coadjoint orbits: orbit invariant charges and Virasoro hair on locally AdS(3) geometries
	Sheikh-Jabbari, MM ; Yavartanoo, H
刊名	EUROPEAN PHYSICAL JOURNAL C
	2016
卷号	76 期号:9
关键词	BLACK-HOLE (2+1)-DIMENSIONAL GRAVITY ASYMPTOTIC SYMMETRIES DYNAMICS DIFFEOMORPHISMS ALGEBRA SPACE
DOI	http://dx.doi.org/10.1140/epjc/s10052-016-4326-z
英文摘要	Expanding upon [arXiv:1404.4472,arXiv:1511.06079], we provide a further detailed analysis of Banados geometries, the most general solutions to the AdS(3) Einstein gravity with Brown-Henneaux boundary conditions. We analyze in some detail the causal, horizon, and boundary structure, and the geodesic motion on these geometries, as well as the two classes of symplectic charges one can associate with these geometries: charges associated with the exact symmetries and the Virasoro charges. We elaborate on the one-to-one relation between the coadjoint orbits of two copies of the Virasoro group and Banados geometries. We discuss that the information as regards the Banados goemetries falls into two categories: "orbit invariant" information and "Virasoro hairs". The former concerns geometric quantities, while the latter are specified by the non-local surface integrals. We elaborate onmulti-BTZ geometries which have a number of disconnected pieces at the horizon bifurcation curve. We study multi-BTZ black hole thermodynamics and discuss that the thermodynamic quantities are orbit invariants. We also comment on the implications of our analysis for a 2d CFT dual which could possibly be dual to AdS3 Einstein gravity.
学科主题	Physics
语种	英语
资助机构	Allameh Tabatabaii Prize Grant of Boniad Melli Nokhbegan of Iran ; SarAmadan grant of Iranian vice presidency in science and technology ; ICTP network [NET-68] ; ICTP Simons fellowship
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23242]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.[Sheikh-Jabbari, M. M.] Inst Res Fundamental Sci IPM, Sch Phys, POB 19395-5531, Tehran, Iran 2.[Yavartanoo, H.] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Sheikh-Jabbari, MM,Yavartanoo, H. On 3d bulk geometry of Virasoro coadjoint orbits: orbit invariant charges and Virasoro hair on locally AdS(3) geometries[J]. EUROPEAN PHYSICAL JOURNAL C,2016,76(9).
APA	Sheikh-Jabbari, MM,&Yavartanoo, H.(2016).On 3d bulk geometry of Virasoro coadjoint orbits: orbit invariant charges and Virasoro hair on locally AdS(3) geometries.EUROPEAN PHYSICAL JOURNAL C,76(9).
MLA	Sheikh-Jabbari, MM,et al."On 3d bulk geometry of Virasoro coadjoint orbits: orbit invariant charges and Virasoro hair on locally AdS(3) geometries".EUROPEAN PHYSICAL JOURNAL C 76.9(2016).