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HIGHER DIMENSIONAL BLACK HOLES AND ADS/CFT CONJECTURE

机译:高维黑洞和广告/ CFT猜想

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In this work we test certain aspects of the duality between gravity in the bulk space-time and field theory on its boundary proposed by Maldacena1. In particular, we investigate the precise relation proposed by Witten2. The bulk space-time is assumed to be asymptotically AdS. It can be shown3 that such duality implies the following relation between Green's functions of the two theories: GCFT(x,y)=lim r→∞ r~2△GB(xr, yr), where r is the radial AdS coordinate, (x, y) is a pair of points on the boundary and lim limr→∞(xr,yr)=(x,y).
机译:在这项工作中,我们在散装时空和现场理论中测试了对MaldaCa1提出的边界的批量空间和场理论之间的二元性的某些方面。特别是,我们调查Witten2提出的精确关系。批量空间时间被认为是渐近的广告。可以显示,这种二元性意味着绿色的两个理论的功能之间的关系:GCFT(x,y)= lim r→∞r〜2△gb(xr,yr),其中r是径向广告坐标,( X,Y)是边界和LIM利姆朗→∞(XR,YR)=(x,y)上的一对点。

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