Emerging AdS from extremally rotating NS5-branes

Emerging AdS from extremally rotating NS5-branes
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DOI:
10.1016/j.physletb.2009.02.031
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发表时间:
2008-12
期刊:
影响因子:
4.4
通讯作者:
Y. Nakayama
Y. Nakayama
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Y. Nakayama

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我们研究了极端旋转NS 5-膜的近视界极限。由此得到的几何具有SL(2,R)×U(1)2等距性。渐近对称群包含一个手征Virasoro代数,我们得到两个不同的实现取决于我们施加的边界条件。当两个角动量中的一个消失时,对称性增强到AdS 3。边界理论的熵可以由Cardy公式估计,它与体理论的Bekenstein-Hawking熵一致。我们可以把极端旋转的NS 5-膜几何嵌入到一个精确可解的弦背景中,这可能会产生对这种对偶性的微观理解,特别是关于从AdS 2到AdS 3对称性的神秘增强。这个结构表明,在(1+5)维小弦理论的极端角落里出现了Virasoro对称。
We investigate the near-horizon limit of extremally rotating NS5-branes. The resulting geometry has SL(2,R)×U(1)2isometry. The asymptotic symmetry group contains a chiral Virasoro algebra, and we obtain two different realizations depending on the boundary conditions we impose. When one of the two angular momenta vanishes, the symmetry is enhanced to AdS3. The entropy of the boundary theory can be estimated from the Cardy formula and it agrees with the Bekenstein–Hawking entropy of the bulk theory. We can embed the extremally rotating NS5-brane geometry in an exactly solvable string background, which may yield microscopic understanding of this duality, especially about the mysterious enhancement of the symmetry from AdS2to AdS3. The construction suggests emerging Virasoro symmetries in the extreme corner of the (1+5)-dimensional little string theory.