Speaker
Description
In the context of String theory, the Swampland is the set of consistent field theories that cannot be completed into quantum gravity in the ultraviolet regime. Thus, the string theories lead to huge amount of effective-low energy theories, and the swampland is the collection of effective theories that cannot come from string theory. Therefore, it is very useful to find constraints over the swampland. One of the most established conjectures is the distance conjecture in the Moduli space of the theory. The generalization of this conjecture to general fields is called the generalized distance conjecture. We use the Generalized Ricci flow for calculating the distance between spacetime metrics. We use the generalized Perelman entropies for defining that distance. Finally, going from the space of metrics to the space of probability densities we use the Wasserstein distance from the optimal transport theory for defining a new distance. We discuss its properties and how it can be used to give some light into the solution of the Generalized distance conjecture.
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