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arXiv 1002.1716hep-th
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半经典顶点算子在AdS_5 × S^5中的能量-自旋轨道

Energy-Spin Trajectories in AdS_5 x S^5 from Semiclassical Vertex Operators

Evgeny I. Buchbinder

摘要:

研究了AdS_5 × S^5中顶点算子与经典自旋弦解之间的关系.在大量子数的极限下,顶点算符的处理成为半经典的。在这种情况下,一个给定的顶点算子携带一组特定的量子数定义了一个奇异解。我们在一些例子中表明,这个解决方案与经典的弦解决方案相同的量子数,但在不同的二维坐标系。对算符施加的边际性条件给出了能量与其他量子数之间的关系,这与相应的经典弦解的关系一致。我们还指出,在某些情况下,AdS_5 × S^5中的顶点算子不能用与平坦空间中的顶点算子类似的表达式给出,需要更复杂的考虑。

英文摘要:

We study the relation between vertex operators in AdS_5 x S^5 and classical spinning string solutions. In the limit of large quantum numbers the treatment of vertex operators becomes semiclassical. In this regime, a given vertex operator carrying a certain set of quantum numbers defines a singular solution. We show in a number of examples that this solution coincides with the classical string solution with the same quantum numbers but written in a different two-dimensional coordinate system. The marginality condition imposed on an operator yields a relation between the energy and the other quantum numbers which is shown to coincide with that of the corresponding classical string solution. We also argue that in some cases vertex operators in AdS_5 x S^5 cannot be given by expressions similar to the ones in flat space and a more involved consideration is required.

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