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arXiv 0904.0475hep-thgr-qc
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关于2+1黑洞的负谱

On the negative spectrum of the 2+1 black hole

Olivera Miskovic, Jorge Zanelli

摘要:

在具有负宇宙学常数的(2+1)维引力中,AdS(M=-1)和所谓的BTZ黑洞($M\geq 0$)之间的负能量范围内的态对应于具有角亏损$0<α<2π$的拓扑缺陷。这些缺陷是由(静态或自旋)0-膜产生的,在极端情况下,$M\ell =-|J|$允许全局定义的协变常数旋量。因此,这些膜对应于BPS孤子和稳定的基态候选人相应的超对称扩展的2+1 AdS引力。这些膜构成了以规范不变的方式耦合到三维AdS引力的外部电流。

英文摘要:

In (2+1)-dimensional gravity with negative cosmological constant, the states in the negative energy range, between AdS (M=-1) and the so-called BTZ black hole ($M\geq 0$), correspond to topological defects with angular deficit $0<α<2π$. These defects are produced by (static or spinning) 0-branes which, in the extreme case $M\ell =-|J|$, admit globally-defined covariantly constant spinors. Thus, these branes correspond to BPS solitons and are stable ground state candidates for the corresponding supersymmetric extension of 2+1 AdS gravity. These branes constitute external currents that couple in a gauge-invariant way to three-dimensional AdS gravity.

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