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arXiv · 2605.09868

Double fibration in G-theory and the cobordism conjecture

Cesar Damian·Oscar Loaiza-Brito·Víctor M. López-Ramos
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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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Cesar Damian, Oscar Loaiza-Brito, Víctor M. López-Ramos. 2026-05-11. Double fibration in G-theory and the cobordism conjecture. https://arxiv.org/abs/2605.09868

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