Multispin magnons on deformed AdS 3 × S 3

Multispin magnons on deformed AdS 3 × S 3
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DOI:
10.1103/physrevd.95.086009
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发表时间:
2016-12
期刊:
影响因子:
5
通讯作者:
D. Roychowdhury
D. Roychowdhury
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
D. Roychowdhury

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在本文中,我们使用全息处方,研究了 $ \kappa $ 变形 $ AdS_{3}\times S^{3} $ 背景上的多自旋束缚态及其色散关系。在我们分析的第一部分中,考虑到共形规范条件(与波利亚科夫作用相关),我们探索了与强耦合下自旋两个束缚态相关的色散关系。我们解决了相应的世界面波动并计算了与变形背景上的弦动力学相关的所有守恒量。在分析的第二部分中,我们对旋转三种配置进行类似的分析。在这两种情况下,我们都观察到出现了不平凡的背景变形,该变形在极限 $ \kappa \rightarrow 0$ 中消失。
In this paper, using the holographic prescription, we study multispin bound states and their dispersion relations over the $ \kappa $-deformed $ AdS_{3}\times S^{3} $ background. In the first part of our analysis, considering the conformal gauge conditions (associated with the Polyakov action) we explore the dispersion relation associated with spin two bound states at strong coupling. We solve corresponding world-sheet fluctuations and compute all the conserved quantities associated with the stringy dynamics over the deformed background. In the second part of our analysis, we perform similar analysis for spin three configurations. In both cases, we observe the emergence of non trivial background deformation that vanishes in the limit, $ \kappa \rightarrow 0$.