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arXiv 0908.3938hep-th
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具有大自旋和自旋D3-brane的操作员

Operator with large spin and spinning D3-brane

Dongmin Gang, Jae-Sung Park, Satoshi Yamaguchi

摘要:

我们用AdS_5 × S^5中的一个带电通量的自旋D3-膜代替自旋基本弦,研究了具有大自旋的算符的共形维数。这个旋转的D3-膜解似乎对应于一个在大对称表示中取迹的算子。在一定的参数范围内,共形维数、自旋和R荷呈现出标度关系。在小弦电荷极限下,结果与弦的基本图象一致。当基本弦电荷大于某个临界值时,系统发生相变,在该临界值以上不存在稳定的D3膜解。

英文摘要:

We consider the conformal dimension of an operator with large spin, using a spinning D3-brane with electric flux in AdS_5 x S^5 instead of spinning fundamental string. This spinning D3-brane solution seems to correspond to an operator made by taking trace in a large symmetric representation. The conformal dimension, the spin and the R-charge show a scaling relation in a certain region of parameters. In the small string charge limit, the result is consistent with the fundamental string picture. There is a phase transition when the fundamental string charge become larger than a certain critical value; there is no stable D3-brane solution above the critical value.

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