论文标题
通过Poisson-lie T-二维方法对Gödel弦宇宙学的T二二二二
T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
论文作者
论文摘要
使用均匀的gödel空间，我们找到了一些新的解决方案，用于玻色弦弦有效动作，直至$α'$中的一阶，包括dilaton和Axion场。然后，我们详细讨论了Gödel-lie（PL）T二维方法的GödelString宇宙学的（非）Abelian T偶化。在研究模型的Abelian T偶二维时，我们获得了七个双重模型，以使它们由自由作用于目标空间歧管的一，二维和三维的Abelian Lie基团构建。我们研究的结果表明，在某些特殊条件下，阿贝尔T二模型是自dual的。此外，通过在没有进一步校正的情况下应用常规的Abelian T偶偶二维规则，我们仍然能够获得两循环的解决方案。我们还通过使用Kaloper and Meissner得出的两回合订单的T二维规则来研究GödelString宇宙学的Abelian T偶二维。之后，GödelSpaceTimes的非亚洲双二元组由二维和三维的非亚伯利亚谎言组（例如$ a_2 $，$ a_2 \ oplus a_1 $ and $ sl（2，\ mathbb {r}））$。通过这种方式，讨论了$ ads_3 \ times \ mathbb {r} $ space的pl自偶性。
Using the homogeneous Gödel spacetimes we find some new solutions for the field equations of bosonic string effective action up to first order in $α'$ including both dilaton and axion fields. We then discuss in detail the (non-)Abelian T-dualization of Gödel string cosmologies via the Poisson-Lie (PL) T-duality approach. In studying Abelian T-duality of the models we get seven dual models in such a way that they are constructed by one-, two- and three-dimensional Abelian Lie groups acting freely on the target space manifold. The results of our study show that the Abelian T-dual models are, under some of the special conditions, self-dual; moreover, by applying the usual rules of Abelian T-duality without further corrections, we are still able to obtain two-loop solutions. We also study the Abelian T-duality of Gödel string cosmologies up to $α'$-corrections by using the T-duality rules at two-loop order derived by Kaloper and Meissner. Afterwards, non-Abelian duals of the Gödel spacetimes are constructed by two- and three-dimensional non-Abelian Lie groups such as $A_2$, $A_2 \oplus A_1$ and $SL(2, \mathbb{R})$. In this way, the PL self-duality of $AdS_3 \times \mathbb{R}$ space is discussed.
