8 problems

The IIA partition function admits an elliptic refinement, equivalently obtainable from the M-theory $G_4$ description. An $M2$-brane may intersect an $M5$-brane in a fundamental st…

Normalizability conjecture. Closed normalizable one-forms correspond to abelian gauge fields in the reduced 8D or 6D theory, whereas non-normalizable one-forms correspond to gauge…

Bulk–brane decomposition conjecture. This decomposition matches the separation between bulk and brane degrees of freedom expected from string theory.

Bulk–brane correspondence. Forms that are $L^2$ correspond to fields associated with bulk supergravity degrees of freedom, while forms that are not normalizable correspond to degre…

Assuming Hypothesis H, M-brane charge quantization is discussed through Cobordism cohomology theories, including quaternionic and unitary Cobordism; write $M\!f$ for such an associ…

In string theory, D-branes carry charges valued in a generalized cohomology theory, where topological K-cohomology denotes the relevant K-theoretic charge group. D-brane charge qua…

Massless-brane pullback conjecture. When the volume of the fiber vanishes, the category of massless branes is generated by pull-backs of branes in the derived category of the base…

EZ massless-brane category conjecture. At these loci, there is a whole category of branes becoming massless.