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arXiv 0709.4033hep-th
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AdS/CFT的大绕组扇区

Large Winding Sector of AdS/CFT

Hirotaka Hayashi, Keisuke Okamura, Ryo Suzuki, Benoit Vicedo

摘要:

我们研究了AdS_5 × S^5背景下R × S^3子空间上的一类经典弦,它介于脉动弦和单尖峰弦之间。它们是从hep-th/0609026的螺旋弦中通过交换世界表时间和空间坐标得到的,世界表将具有大自旋的旋转/自旋弦状态映射到具有大缠绕数的振荡状态。从有限能隙的角度来看,这种转换是实现作为准动量和准能量的代数曲线定义的互换。讨论了规范理论的性质,并将其与N=4超杨-米尔斯非全纯扇区中的算子相一致.它们可以被看作是"反铁磁“态之上的激发态,反铁磁态是自旋链谱中"离BPS最远的”。此外,我们在附录中研究了AdS_3 × S^1上的螺旋弦。

英文摘要:

We study a family of classical strings on R x S^3 subspace of the AdS_5 x S^5 background that interpolates between pulsating strings and single-spike strings. They are obtained from the helical strings of hep-th/0609026 by interchanging worldsheet time and space coordinates, which maps rotating/spinning string states with large spins to oscillating states with large winding numbers. From a finite-gap perspective, this transformation is realised as an interchange of quasi-momentum and quasi-energy defined for the algebraic curve. The gauge theory duals are also discussed, and are identified with operators in the non-holomorphic sector of N=4 super Yang-Mills. They can be viewed as excited states above the ``antiferromagnetic'' state, which is ``the farthest from BPS'' in the spin-chain spectrum. Furthermore, we investigate helical strings on AdS_3 x S^1 in an appendix.

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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