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arXiv 0712.2860hep-th
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II型小弦黑洞、探测膜和高阶导数相互作用

Type II Small Stringy Black Holes, Probe Branes and Higher Derivative Interactions

Ling-Yan Hung, Linda I. Uruchurtu

摘要:

一个基本弦缠绕在一个简化为四维的S1上,其近视界的几何形状预计是AdS2 × S2。探针串分析表明,一个无力的条件下,表明超对称性,这符合的条件,即AdS2嵌入在AdS3。因此,我们认为散装弦论的WZW模型AdS3最近的建议Dabholkar等。al和Giveon et.我们发现,共形对称的模型自然会导致从探针获得的无力约束。此外,我们能够提取出解释微观熵值的模量值。在IIB型超引力的背景下,我们还研究了α '^3 R^4 +通量项对视界的高阶导数修正。从探针分析中强加无力条件导致在α '中该阶的运动方程的显著简化。然而,我们认为熵的值只能通过考虑α '中的所有阶数来确定。

英文摘要:

The near horizon geometry of a fundamental string wrapped around an S1 reduced to four dimensions is expected to be AdS2 x S2. A probe string analysis suggests a no-force condition indicating supersymmetry, which coincides with the condition that the AdS2 is embedded in AdS3. We therefore consider the bulk string theory in terms of a WZW model on AdS3 following recent proposals by Dabholkar et. al and Giveon et. al. We find that conformal symmetry of the model naturally leads to the no-force constraints obtained from the probes. Moreover, we are able to extract the values of the moduli that account for the value of the microscopic entropy. We also investigate higher derivative corrections of the form alpha'^3 R^4 + flux terms to the horizon, in the context of type IIB supergravity. Imposing the no-force condition from the probe analysis leads to a striking simplification of the equations of motion at this order in alpha'. However, we argue that the value of the entropy can only be determined by considering all orders in alpha'.

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