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000607499 0247_ $$2arXiv$$aarXiv:2406.02670
000607499 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-01897
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000607499 088__ $$2arXiv$$aarXiv:2406.02670
000607499 1001_ $$0P:(DE-H253)PIP1098591$$aLawrie, Craig$$b0
000607499 245__ $$aThe Higgs Branch of 6d (1,0) SCFTs & LSTs with DE-type SUSY Enhancement
000607499 260__ $$c2024
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000607499 500__ $$a64 pages, 20 figures, 6 tables
000607499 520__ $$aWe detail the Higgs branches of 6d $(1,0)$ superconformal field theories (SCFTs) and little string theories (LSTs) that exhibit supersymmetry-enhancing Higgs branch renormalization group flows to the 6d $(2,0)$ SCFTs and LSTs of type DE. Generically, such theories are geometrically engineered in F-theory via a configuration of $(-2)$-curves, arranged in an (affine) DE-type Dynkin diagram, and supporting special unitary gauge algebras; this describes the effective field theory on the tensor branch of the SCFT. For the Higgsable to D-type $(2,0)$ SCFTs/LSTs, there generically also exists a Type IIA brane description, involving a Neveu--Schwarz orientifold plane, which allows for the derivation of a magnetic quiver for the Higgs branch. These are 3d $\mathcal{N}=4$ unitary-orthosymplectic quivers whose Coulomb branch is isomorphic to the Higgs branch of the 6d theories. From this magnetic quiver, together with an extended quiver subtraction algorithm that we explain, the foliation structure of the Higgs branch as a symplectic singularity is unveiled. For this class of 6d SCFTs, we observe a simple rule, which we refer to as 'slice subtraction,' to read off the transverse slice in the foliation from the tensor branch. Based on this slice subtraction observation, we conjecture the transverse slices in the Higgsable to E-type $(2,0)$ Hasse diagram, where the SCFTs lack any known magnetic quiver for their Higgs branches.
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000607499 536__ $$0G:(GEPRIS)390833306$$aDFG project 390833306 - EXC 2121: Quantum Universe (390833306)$$c390833306$$x1
000607499 536__ $$0G:(GEPRIS)506632645$$aDFG project 506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645)$$c506632645$$x2
000607499 536__ $$0G:(GEPRIS)471314740$$aDFG project 471314740 - Holographie und das Swampland: Konsistenzbedingungen an fundamentale Physik aus der Quantengravitation (471314740)$$c471314740$$x3
000607499 588__ $$aDataset connected to arXivarXiv
000607499 650_7 $$2INSPIRE$$arenormalization group: flow
000607499 650_7 $$2INSPIRE$$afield theory: conformal
000607499 650_7 $$2INSPIRE$$aquiver
000607499 650_7 $$2INSPIRE$$afoliation
000607499 650_7 $$2INSPIRE$$atransverse
000607499 650_7 $$2INSPIRE$$aCoulomb
000607499 650_7 $$2INSPIRE$$aorientifold
000607499 650_7 $$2INSPIRE$$aalgebra
000607499 650_7 $$2INSPIRE$$aunitary gauge
000607499 650_7 $$2INSPIRE$$aaffine
000607499 650_7 $$2INSPIRE$$amembrane model
000607499 650_7 $$2INSPIRE$$adark energy
000607499 650_7 $$2INSPIRE$$aenhancement
000607499 650_7 $$2INSPIRE$$aF-theory
000607499 650_7 $$2INSPIRE$$astring model
000607499 650_7 $$2INSPIRE$$asingularity
000607499 650_7 $$2INSPIRE$$asupersymmetry
000607499 650_7 $$2INSPIRE$$aeffective field theory
000607499 650_7 $$2INSPIRE$$asymplectic
000607499 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0
000607499 7001_ $$0P:(DE-H253)PIP1103491$$aMansi, Lorenzo$$b1$$eCorresponding author
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000607499 9141_ $$y2024
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