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@ARTICLE{Lawrie:607499,
      author       = {Lawrie, Craig and Mansi, Lorenzo},
      title        = {{T}he {H}iggs {B}ranch of 6d (1,0) {SCFT}s $\&$ {LST}s with
                      {DE}-type {SUSY} {E}nhancement},
      reportid     = {PUBDB-2024-01897, DESY-24-079. arXiv:2406.02670},
      year         = {2024},
      note         = {64 pages, 20 figures, 6 tables},
      abstract     = {We detail the Higgs branches of 6d $(1,0)$ superconformal
                      field theories (SCFTs) and little string theories (LSTs)
                      that exhibit supersymmetry-enhancing Higgs branch
                      renormalization group flows to the 6d $(2,0)$ SCFTs and LSTs
                      of type DE. Generically, such theories are geometrically
                      engineered in F-theory via a configuration of $(-2)$-curves,
                      arranged in an (affine) DE-type Dynkin diagram, and
                      supporting special unitary gauge algebras; this describes
                      the effective field theory on the tensor branch of the SCFT.
                      For the Higgsable to D-type $(2,0)$ SCFTs/LSTs, there
                      generically also exists a Type IIA brane description,
                      involving a Neveu--Schwarz orientifold plane, which allows
                      for the derivation of a magnetic quiver for the Higgs
                      branch. These are 3d $\mathcal{N}=4$ unitary-orthosymplectic
                      quivers whose Coulomb branch is isomorphic to the Higgs
                      branch of the 6d theories. From this magnetic quiver,
                      together with an extended quiver subtraction algorithm that
                      we explain, the foliation structure of the Higgs branch as a
                      symplectic singularity is unveiled. For this class of 6d
                      SCFTs, we observe a simple rule, which we refer to as 'slice
                      subtraction,' to read off the transverse slice in the
                      foliation from the tensor branch. Based on this slice
                      subtraction observation, we conjecture the transverse slices
                      in the Higgsable to E-type $(2,0)$ Hasse diagram, where the
                      SCFTs lack any known magnetic quiver for their Higgs
                      branches.},
      keywords     = {renormalization group: flow (INSPIRE) / field theory:
                      conformal (INSPIRE) / quiver (INSPIRE) / foliation (INSPIRE)
                      / transverse (INSPIRE) / Coulomb (INSPIRE) / orientifold
                      (INSPIRE) / algebra (INSPIRE) / unitary gauge (INSPIRE) /
                      affine (INSPIRE) / membrane model (INSPIRE) / dark energy
                      (INSPIRE) / enhancement (INSPIRE) / F-theory (INSPIRE) /
                      string model (INSPIRE) / singularity (INSPIRE) /
                      supersymmetry (INSPIRE) / effective field theory (INSPIRE) /
                      symplectic (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / DFG
                      project 390833306 - EXC 2121: Quantum Universe (390833306) /
                      DFG project 506632645 - SFB 1624: Höhere Strukturen,
                      Modulräume und Integrabilität (506632645) / DFG project
                      471314740 - Holographie und das Swampland:
                      Konsistenzbedingungen an fundamentale Physik aus der
                      Quantengravitation (471314740)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)390833306 /
                      G:(GEPRIS)506632645 / G:(GEPRIS)471314740},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2406.02670},
      howpublished = {arXiv:2406.02670},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2406.02670;\%\%$},
      doi          = {10.3204/PUBDB-2024-01897},
      url          = {https://bib-pubdb1.desy.de/record/607499},
}