Abstract
Starting from an already known solution in the literature, we study the dynamical cobordism induced by the backreaction of a non-supersymmetric, positive tension domain wall in string theory. This could e.g. be a non-BPS D8-brane of type I or a \( \overline{D8} \)/O8 stack of a non-supersymmetric type IIA orientifold. The singularities which typically appear indicate either an inherent inconsistency of this background or the required presence of a suitable defect, as predicted by the cobordism conjecture. We provide evidence that this end-of-the-world 7-brane is explicitly described by a new kind of non-isotropic solution of the dilaton-gravity equations of motion. Intriguingly, on the formal level this solution turns out to be closely related to the initial solution for the non-supersymmetric domain wall.
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Blumenhagen, R., Cribiori, N., Kneißl, C. et al. Dynamical cobordism of a domain wall and its companion defect 7-brane. J. High Energ. Phys. 2022, 204 (2022). https://doi.org/10.1007/JHEP08(2022)204
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DOI: https://doi.org/10.1007/JHEP08(2022)204