The Implications of N =2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold
Salem, S., Emam, M., Salah, H. (2022). The Implications of N =2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold. EKB Journal Management System, 33(Issue 1-B), 65-73. doi: 10.21608/absb.2022.121518.1172
Safinaz Salem; Moataz H. Emam; Hala H. Salah. "The Implications of N =2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold". EKB Journal Management System, 33, Issue 1-B, 2022, 65-73. doi: 10.21608/absb.2022.121518.1172
Salem, S., Emam, M., Salah, H. (2022). 'The Implications of N =2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold', EKB Journal Management System, 33(Issue 1-B), pp. 65-73. doi: 10.21608/absb.2022.121518.1172
Salem, S., Emam, M., Salah, H. The Implications of N =2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold. EKB Journal Management System, 2022; 33(Issue 1-B): 65-73. doi: 10.21608/absb.2022.121518.1172

The Implications of N =2 Supergravity Cosmology On the Topology of the Calabi-Yau Manifold

Al-Azhar Bulletin of Science
Article 6, Volume 33, Issue 1-B, June 2022, Page 65-73  XML PDF (873.44 K)
Document Type: Original Article
DOI: 10.21608/absb.2022.121518.1172
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Authors
Safinaz Salem email 1; Moataz H. Emam2; Hala H. Salah1
1Department of Physics, Faculty of Science, Al-Azhar University, Cairo, Egypt.
2Department of Physics, SUNY College at Cortland, Cortland, New York 13045, USA. University of Science and technology, Zewail City of Science and Technology, Giza 12578, Egypt.
Abstract
When N = 1 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 geometry of the CY manifold space, namely, in terms of the hypermultiplets. There are zi (i = 1,...,h2,1) complex structure moduli in the moduli space of the CY manifold which’s a special manifold with a metric . We solve the field equations of the complex structure moduli with the solution of the Einstein field equations to the moduli velocity norm   in the 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  potential that  directly relates to the volume of the CY manifold.
Keywords
Supergravity; Cosmology; General relativity; Extra dimensions; Calabi-Yau manifold
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