Preprint

PUBDB-2024-01897

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The Higgs Branch of 6d (1,0) SCFTs & LSTs with DE-type SUSY Enhancement

Lawrie, C.DESY* ; Mansi, L. (Corresponding author)DESY*

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-01897

Report No.: DESY-24-079; arXiv:2406.02670

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.

Keyword(s): renormalization group: flow ; field theory: conformal ; quiver ; foliation ; transverse ; Coulomb ; orientifold ; algebra ; unitary gauge ; affine ; membrane model ; dark energy ; enhancement ; F-theory ; string model ; singularity ; supersymmetry ; effective field theory ; symplectic

Note: 64 pages, 20 figures, 6 tables

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project 390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
3. DFG project 506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)
4. DFG project 471314740 - Holographie und das Swampland: Konsistenzbedingungen an fundamentale Physik aus der Quantengravitation (471314740) (471314740)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Lawrie, C. (Corresponding author)DESY* ; Mansi, L.DESY*
Higgs branch of 6D (1, 0) SCFTs and little string theories with Dynkin DE-type SUSY enhancement
Physical review / D 110(6), 066014 (2024) [10.1103/PhysRevD.110.066014]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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