# nLab swampland cobordism conjecture -- references

Swampland cobordism conjecture

### Swampland cobordism conjecture

The swampland cobordism conjecture is the hypothesis that consistency of vacua in string theory/M-theory/F-theory (hence their being in the “landscape” instead of the “swampland”) requires (undefined) stringy/quantum gravity-analogs of cobordism groups to vanish:

Relation to topological K-theory:

• Ralph Blumenhagen, Niccolò Cribiori, Christian Kneissl, Andriana Makridou, Dimensional Reduction of Cobordism and K-theory $[$arXiv:2208.01656$]$

• Ralph Blumenhagen, Christian Kneissl, Chuying Wang, Dynamical Cobordism Conjecture: Solutions for End-of-the-World Branes $[$arXiv:2303.03423$]$

Review:

A more concrete consequence of this conjecture is claimed (McNamara-Vafa 17, Sec. 5.2, 2nd paragr.) to be the statement that – paraphrasing/extrapolating somewhat: brane charges are quantized in Cobordism cohomology; so that, in particular tadpole cancellation of brane charges is to happen in Cobordism cohomology. This statement is discussed, as a consequence of Hypothesis H, in (see p. 83):

Last revised on March 18, 2023 at 09:27:14. See the history of this page for a list of all contributions to it.