论文标题
考虑两种旋转和两个Angular Momenta String Solutions in $ ads_5 \ times s^5 $
Considering the two Spin and the two Angular Momenta String Solutions in $AdS_5 \times S^5$
论文作者
论文摘要
In this paper, we consider two almost opposite sectors of actual string configuration ansätze in $AdS_5\times S^5$, which anyway have almost the same features: The two spin solution, which has constant angles in $S^5$ and the two angular momenta solution, which has constant "angels" in $AdS_5$, however for the two angular momenta solution, we have to take the time coordinate from $AdS_5$, thus there is a little $ ads_5 \ times s^5 $中两个字符串配置之间的不对称性。在没有自闭症的情况下，两个扇区的相似方程之间的方程式约为$ 69 $，比较方程式（34）和（104），还比较方程式（64）和（134）。同样，在没有自闭症的情况下，两个扇区中的方程之后的文本几乎完全相同。在我们的符号中，两个部门之间的差异如下。 $ρ\leftrightArrowθ$，$ ϕ \leftrightArrowψ$，$ \sinhρ\ leftrightArrow \sinθ$，$ y_i \ leftrightArrow x_i $，$ y \ y \ y \ leftrightArrow x $等。这些纸张的弦乐配置。但是，我们在本文中的设置通常适用于Neumann-Rosochatius系统，这也是可以解决的，因为我们打算将Neumann System的结果推广到Neumann-Rosochatius系统，以及几种变形的Neumann-Rosochatius系统。在本文的第二部分中，它独立于$ ads_5 \ times s^5 $中的任何字符串配置，并关注$ d = 10 $ dimensions中的字符串宇宙学。我会认真地争辩说没有大爆炸。我真的相信宇宙已经永远存在，请参阅第10节的真实结论。
In this paper, we consider two almost opposite sectors of actual string configuration ansätze in $AdS_5\times S^5$, which anyway have almost the same features: The two spin solution, which has constant angles in $S^5$ and the two angular momenta solution, which has constant "angels" in $AdS_5$, however for the two angular momenta solution, we have to take the time coordinate from $AdS_5$, thus there is a little asymmetry between the two string configurations in $AdS_5\times S^5$. Without being autistic, there is around $69$ equations between the similar equations in the two sectors, compare equations (34) and (104) and also compare equations (64) and (134). Again, without being autistic, the text after the equations in the two sectors, is almost precisely the same. In our notation, the difference between the two sectors is as follows; $ρ\leftrightarrow θ$, $ϕ\leftrightarrow ψ$, $\sinhρ\leftrightarrow \sinθ$, $y_i\leftrightarrow x_i$, $y \leftrightarrow x$ etc. The string configurations of this paper, are both solvable by the Neumann System. However, our setup in this paper is generally for the Neumann-Rosochatius System, which is also solvable, since we intend to generalize our results from the Neumann System to the Neumann-Rosochatius System and to several types of deformed Neumann-Rosochatius Systems. In the second part of this paper, which is independent of any string configurations in $AdS_5\times S^5$ and concerns String Cosmology in $D=10$ dimensions. I will seriously argue that there was no Big Bang; I truly believe that the Universe has been there forever, see True Conclusions, Section 10.
