String theory and black holes.

String theory and black holes.
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DOI:
10.1103/physrevd.44.314
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发表时间:
1991-07
期刊:
Physical review. D, Particles and fields
影响因子:
--
通讯作者:
E. Witten
E. Witten
中科院分区:
其他
文献类型:
--
作者:
E. Witten

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发现了描述二维时空中黑洞的精确共形场论:SL(2,{italOpenR})/U(1)规范的Wess-Zumino-Witten模型。当k=9/4时,共形场理论可以看作是在c=1矩阵模型中探讨的同一系统的经典解。控制时空的共形场论在黎曼奇点是正则的,但似乎泛型微扰在那里爆发了。认为霍金黑洞蒸发的终点是矩阵模型的时空,可以看作是四维广义相对论中极端的Reissner-Nordstroem黑洞的类比。因此,{italc}=1模型是物质与黑洞相互作用的量子力学模型。
An exact conformal field theory describing a black hole in two-dimensional space-time is found as an SL(2,{ital openR})/U(1) gauged Wess-Zumino-Witten model. For {ital k}=9/4, the conformal field theory can be regarded as a classical solution of the same system that is probed in the {ital c}=1 matrix model. The conformal field theory governing the space-time is regular at the Riemannian singularity, but it appears that generic perturbations blow up there. It is argued that the end point of the Hawking black-hole evaporation is the {ital standard} space-time of the {ital c}=1 matrix model, which should be regarded as an analog of the extreme Reissner-Nordstroem black hole of four-dimensional general relativity. The {ital c}=1 model is thus a model of the quantum mechanics of matter interacting with a black hole.