Euclidean wormholes have attracted a renewed interest in Quantum Gravity as relevant saddle points in the path integral. To understand them, we still need to fully describe them from a String Theory point of view. The best way we can do this is by dimensional uplift from a lower dimensional Supergravity theory, where we can describe them properly. One way to have such a solution for space-time geometry is by using axions. This is why we try to embed the four-dimensional Giddings-Strominger wormhole solution in String Theory. The Supergravity model we chose is a $\mathcal{N}=8$ dyonically gauged $ISO(7)$ maximal Supergravity, whose embedding into massive Type IIA String Theory is well known and reviewed in this work. We tried to recover for the first time wormhole solutions in such a workframe and managed to find significant bounds for this solution. In order to find these results, we analyzed the particle content of dyonic $ISO(7)$ theory in multiple subsectors of interest and identified good axio-dilaton pair candidates. Then we proceeded to approximate our solutions to expand our theory around a vacuum Giddings-Strominger solution with AdS$_4$ asymptotic behavior with a method implemented in previous works. In conclusion, we attempted to embed in this theory a gauged Supergravity theory with no scalar and found possible embeddings within the vacua of our model. This made it possible to assert that traversable wormhole solutions can be successfully embedded in String Theory starting from this never before analyzed model.
Euclidean wormholes have attracted a renewed interest in Quantum Gravity as relevant saddle points in the path integral. To understand them, we still need to fully describe them from a String Theory point of view. The best way we can do this is by dimensional uplift from a lower dimensional Supergravity theory, where we can describe them properly. One way to have such a solution for space-time geometry is by using axions. This is why we try to embed the four-dimensional Giddings-Strominger wormhole solution in String Theory. The Supergravity model we chose is a $\mathcal{N}=8$ dyonically gauged $ISO(7)$ maximal Supergravity, whose embedding into massive Type IIA String Theory is well known and reviewed in this work. We tried to recover for the first time wormhole solutions in such a workframe and managed to find significant bounds for this solution. In order to find these results, we analyzed the particle content of dyonic $ISO(7)$ theory in multiple subsectors of interest and identified good axio-dilaton pair candidates. Then we proceeded to approximate our solutions to expand our theory around a vacuum Giddings-Strominger solution with AdS$_4$ asymptotic behavior with a method implemented in previous works. In conclusion, we attempted to embed in this theory a gauged Supergravity theory with no scalar and found possible embeddings within the vacua of our model. This made it possible to assert that traversable wormhole solutions can be successfully embedded in String Theory starting from this never before analyzed model.
Axion Wormholes in Gauged Supergravity and their String Theory Uplift
FIESOLI, EDOARDO
2022/2023
Abstract
Euclidean wormholes have attracted a renewed interest in Quantum Gravity as relevant saddle points in the path integral. To understand them, we still need to fully describe them from a String Theory point of view. The best way we can do this is by dimensional uplift from a lower dimensional Supergravity theory, where we can describe them properly. One way to have such a solution for space-time geometry is by using axions. This is why we try to embed the four-dimensional Giddings-Strominger wormhole solution in String Theory. The Supergravity model we chose is a $\mathcal{N}=8$ dyonically gauged $ISO(7)$ maximal Supergravity, whose embedding into massive Type IIA String Theory is well known and reviewed in this work. We tried to recover for the first time wormhole solutions in such a workframe and managed to find significant bounds for this solution. In order to find these results, we analyzed the particle content of dyonic $ISO(7)$ theory in multiple subsectors of interest and identified good axio-dilaton pair candidates. Then we proceeded to approximate our solutions to expand our theory around a vacuum Giddings-Strominger solution with AdS$_4$ asymptotic behavior with a method implemented in previous works. In conclusion, we attempted to embed in this theory a gauged Supergravity theory with no scalar and found possible embeddings within the vacua of our model. This made it possible to assert that traversable wormhole solutions can be successfully embedded in String Theory starting from this never before analyzed model.File | Dimensione | Formato | |
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https://hdl.handle.net/20.500.12608/51890