Higher-form symmetries and their anomalies in M-/F-theory duality
- Cvetic, Mirjam et al
- arXiv:2106.07654CERN-TH-2021-091UPR-1311-TLMU-ASC 17/21
 | Singular geometry with fiber singularity in the interior that induces an $SL(2,\mathbb{Z})$ monodromy around the boundary circle. |
 | Cartoon of a Higgsing transition, where one of the singular fibers is moved outside of the disk, thereby changing the monodromy. |
 | Transformation properties of a general $(r,s)$-string passing through the branch-cut of a $[p,q]$-brane. |
 | A local null junction (left) obtained from encircling a brane stack with a string. In general, it carries an asymptotic charge. Via a Hanany--Witten transition, the null junction can also be presented as joining prongs from the constituent branes of the stack (middle). One can connect local null junctions via their asymptotic charges; the global null junctions on a compact $\bbP^1$ have no net asymptotic charge (schematically on the right). |
 | Schematic depiction of a local contribution to a fractional null junction in terms of a physical asymptotic junction and a fractional combination of root junctions for $A^4$ stack (which we depicted as separated for convenience). |
 | The schematic relation, for an $I_4$ singularity, between string junctions and M2-brane states that correspond to roots (red) and asymptotic charges (blue). |