Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector
Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector
复制标题
AdS5 x S5 中字符串的均匀光锥规：求解 su(1|1) 扇区
DOI：
10.1088/1126-6708/2006/01/055
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发表时间：
2005
影响因子：
5.4
通讯作者：
S. Frolov
中科院分区：
文献类型：
--
作者：
G. Arutyunov;S. Frolov
介绍了在AdS5×S5时空中传输的弦的均匀光锥规范。我们使用规范来分析来自(1|1)扇区的弦，并且表明简化的模型可以用两个复费米子的二次作用量来描述。因此，均匀光锥标尺使我们能够精确地求解模型。我们分析了(1|1)扇区的近BMN态谱，结果表明它正确地再现了1/J的修正。我们还计算了强耦合极限下的谱，并导出了著名的λ1/4渐近性。然后，我们证明了通过求解Bethe ansatz型方程也可以得到相同的弦谱，并讨论了它们与(1|1)扇区量子弦Bethe ansatz的关系。
We introduce a uniform light-cone gauge for strings propagating in AdS5 × S5 space-time. We use the gauge to analyze strings from the (1|1) sector, and show that the reduced model is described by a quadratic action for two complex fermions. Thus, the uniform light-cone gauge allows us to solve the model exactly. We analyze the near BMN spectrum of states from the (1|1) sector and show that it correctly reproduces the 1/J corrections. We also compute the spectrum in the strong coupling limit, and derive the famous λ1/4 asymptotics. We then show that the same string spectrum can be also derived by solving Bethe ansatz type equations, and discuss their relation to the quantum string Bethe ansatz for the (1|1) sector.