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Dynamical Cobordism of a Domain Wall and its Companion Defect 7-brane

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arxiv 2205.09782 v2 pith:JYMIHKAK submitted 2022-05-19 hep-th

Ralph Blumenhagen , Niccolò Cribiori , Christian Kneissl , Andriana Makridou This is my paper
classification hep-th
keywords solutioncobordismdomainnon-supersymmetricwallbranedefectdynamical
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

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