Double fibration in G-theory and the cobordism conjecture
Abstract
We investigate Type IIB compactifications with spatially varying fluxes and dilaton profiles in the setting of dynamical cobordism. In particular, we analyze a G-theory motivated compactification in which the fluxes and the dilaton depend on coordinates of a complex two-dimensional plane. From the equations of motion, we deduce the existence of End of the World branes. In a cohomological interpretation, these branes appear precisely in order to trivialize the relevant cohomology class. Furthermore, we compute the associated bordism group and show that additional non-perturbative objects are needed to cancel the class, while retaining the cohomological contribution as a subgroup. This suggests a mathematical structure that connects energy scales with the emergence of perturbative and non-perturbative physics.
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Cite
@article{arxiv.2605.09868,
title = {Double fibration in G-theory and the cobordism conjecture},
author = {Cesar Damian and Oscar Loaiza-Brito and Víctor M. López-Ramos},
journal= {arXiv preprint arXiv:2605.09868},
year = {2026}
}
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25+1 pages