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Résumé |
We study warped IIB flux solutions using the setup of Giddings-Kachru-Polchinski. The solution leads to a
warped metric with a warp
factor that only depends on the internal coordinates. We want to study the functional form of the warp
factor to investigate the
singular bulk problem, which states that the warped region is not a small throat in the CY but almost the
entire CY becomes strongly
warped, which means that the supergravity solution is not well under control. I will explain the necessary
steps to study this, which
include approximating the CY metric with a neural network, finding imaginary self-dual flux solutions that
stabilize the complex
structure moduli close to a confiold point, constructing a basis of harmonic (2,1) forms (again using neural
networks), and solving the
differential equation for the warp factor (using a third neural network). We also discuss several
improvements we made to minimize
the numerical errors close to the singular regions. |
