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M5 branes on a D-type ALE singularity display various phenomena thatintroduce additional massless degrees of freedom. The M5 branes are known tofractionate on a D-type singularity. Whenever two fractional M5 branescoincide, tensionless strings arise. Therefore, these systems do not admit alow-energy Lagrangian description. Focusing on the 6-dimensional N=(1,0)world-volume theories on the M5 branes, the vacuum moduli space has twobranches were either the scalar fields in the tensor multiplet or the scalarsin the hypermultiplets acquire a non-trivial vacuum expectation value. Assuggested in previous work, the Higgs branch may change drastically whenever aBPS-string becomes tensionless. Recently, magnetic quivers have been introducedwith the aim to capture all Higgs branches over any point of the tensor branch.In this paper, the formalism is extended to Type IIA brane configurationsinvolving O6 planes. Since the 6d N=(1,0) theories are composed oforthosymplectic gauge groups, the derivation rules for the magnetic quiver inthe presence of O6 planes have to be conjectured. This is achieved by analysingthe 6d theories for a single M5 brane on a D-type singularity and deriving themagnetic quivers for the finite and infinite gauge coupling Higgs branch from abrane configuration. The validity of the proposed derivation rules isunderpinned by deriving the associated Hasse diagram. For multiple M5 branes,the approach of this paper provides magnetic quivers for all Higgs branchesover any point of the tensor branch. In particular, an interesting infinitegauge coupling transition is found that is related to the SO(8) non-Higgsablecluster.

Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups