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arXiv 0801.4457hep-th
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N = 4 SYM中的近极值相交巨星系和新的解耦扇形

Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM

R. Fareghbal, C. N. Gowdigere, A. E. Mosaffa, M. M. Sheikh-Jabbari

摘要:

本文研究了五维$U(1)^3$规范双荷超引力下近极值带电黑洞解的近视界极限,推广了Balasubramanian等人的近期工作,证明了近极值黑洞存在两个近视界解耦极限,一个对应于近BPS情形,另一个对应于远离BPS情形.这两个极限都只定义在5d黑洞的10 d IIB隆起上,导致了具有六维部分(共形于)旋转BTZ X $S^3$的解耦几何。我们研究了这些解耦限制的各个方面,从重力方面和对偶场论方面。对于后者,我们认为应该有两个不同的,但等价的,对偶规范理论的描述,一个在2d CFT的旋转BTZ和其他的一些大的R-电荷部门的d=4,N =4 U(N)SYM理论的对偶。我们讨论了在$N\to\infty$极限下N=4 SYM的新BMN型扇区,其中工程尺寸按比例缩放为$N^{3/2}$(对于接近BPS的情况)和$N^2$(对于远离BPS的情况)。

英文摘要:

We study near-horizon limits of near-extremal charged black hole solutions to five-dimensional $U(1)^3$ gauged supergravity carrying two charges, extending the recent work of Balasubramanian et.al. We show that there are two near-horizon decoupling limits for the near-extremal black holes, one corresponding to the near-BPS case and the other for the far from BPS case. Both of these limits are only defined on the 10d IIB uplift of the 5d black holes, resulting in a decoupled geometry with a six-dimensional part (conformal to) a rotating BTZ X $S^3$. We study various aspects of these decoupling limits both from the gravity side and the dual field theory side. For the latter we argue that there should be two different, but equivalent, dual gauge theory descriptions, one in terms of the 2d CFT's dual to the rotating BTZ and the other as certain large R-charge sectors of d=4,N =4 U(N) SYM theory. We discuss new BMN-type sectors of the N=4 SYM in the $N\to\infty$ limit in which the engineering dimensions scale as $N^{3/2}$ (for the near-BPS case) and as $N^2$ (for the far from BPS case).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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