Dynamical Cobordism of a Domain Wall and its Companion Defect 7-brane
arXiv:2205.09782 · doi:10.1007/JHEP08(2022)204
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 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 -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.
arXiv comment27 pages, 5 figures. v2: figure added, minor modifications, published in JHEP
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