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@ARTICLE{Lawrie:622206,
author = {Lawrie, Craig and Mansi, Lorenzo},
title = {{H}iggs branch of 6{D} (1, 0) {SCFT}s and little string
theories with {D}ynkin {DE}-type {SUSY} enhancement},
journal = {Physical review / D},
volume = {110},
number = {6},
issn = {2470-0010},
address = {Ridge, NY},
publisher = {American Physical Society},
reportid = {PUBDB-2025-00244, arXiv:2406.02670. DESY-24-079},
pages = {066014},
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},
ddc = {530},
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)16},
eprint = {2406.02670},
howpublished = {arXiv:2406.02670},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2406.02670;\%\%$},
UT = {WOS:001318383400009},
doi = {10.1103/PhysRevD.110.066014},
url = {https://bib-pubdb1.desy.de/record/622206},
}