Double fibration in G-theory and the cobordism conjecture
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866910207578210304 |
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| author | Damian, Cesar Loaiza-Brito, Oscar López-Ramos, Víctor M. |
| author_facet | Damian, Cesar Loaiza-Brito, Oscar López-Ramos, Víctor M. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_09868 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Double fibration in G-theory and the cobordism conjecture Damian, Cesar Loaiza-Brito, Oscar López-Ramos, Víctor M. High Energy Physics - Theory 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. |
| title | Double fibration in G-theory and the cobordism conjecture |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.09868 |