论文标题
N = 2超级宇宙学对Calabi-yau歧管拓扑的含义
The Implications of N = 2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold
论文作者
论文摘要
当n = d = 11超级重力在cy三倍至n = 2 d = 5超级重力上被压缩时，最后一个的作用是根据cy歧管空间的几何形状给出的，即，就超级变性而言。 $ z^i（i = 1，...，h^{2,1}）$复杂的结构模量在CY歧管的模量空间中，这是一个特殊的kähler歧管，带有公制$ g_ {i \ bar {j}} $。 We solve the field equations of the complex structure moduli with the solution of the Einstein field equations to the moduli velocity norm $G_{i\bar{j}} z^i z^{\bar{j}}$ in case of a 3- brane filled with radiation, dust and energy embedded in the bulk of D=5 supergravity.我们获得了模量和度量标准的时间依赖性。然后，我们可以通过获得与Cy歧管的体积直接相关的Kähler电位来进一步推断模量空间的几何形状。
When N= D=11 supergravity is compactified on CY threefold to N=2 D=5 supergravity the action of the last is given in terms of the geometery of the CY manifold space, namely, in terms of the hypermultiplets. There are $z^i(i=1,...,h^{2,1})$ complex structure moduli in the moduli space of the CY manifold which is a special Kähler manifold with a metric $G_{i\bar{j}}$. We solve the field equations of the complex structure moduli with the solution of the Einstein field equations to the moduli velocity norm $G_{i\bar{j}} z^i z^{\bar{j}}$ in case of a 3- brane filled with radiation, dust and energy embedded in the bulk of D=5 supergravity. We get the time dependence of the moduli and the metric. Then we can further deduce the geometry of the moduli space by getting the Kähler potential which directly relates to the volume of the CY manifold.
