Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations

Abstract

We describe how the geometry of the Higgs branch of 5d superconformal field theories is transformed under movement along the extended Coulomb branch. Working directly with the (unitary) magnetic quiver, we demonstrate a correspondence between Fayet-Iliopoulos deformations in 3d and 5d mass deformations. When the Higgs branch has multiple cones, characterised by a collection of magnetic quivers, the mirror map is not globally well-defined, however we are able to utilize the correspondence to establish a local version of mirror symmetry. We give several detailed examples of deformations, including decouplings and weak-coupling limits, in $(D_n,D_n)$ conformal matter theories, $T_N$ theory and its parent $P_N$, for which we find new Lagrangian descriptions given by quiver gauge theories with fundamental and anti-symmetric matter.

47 pages, many figures

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Cited by in corpus (19)

• Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• Magnetic quivers for rank 2 theories
• Fibrations and Hasse diagrams for 6d SCFTs
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Higgs branch RG-flows via Decay and Fission
• Decay and Fission of Magnetic Quivers
• Probing 7-branes on Orbifolds
• Exploring the orthosymplectic zoo
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Orthosymplectic Quotient Quiver Subtraction
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• Quotient Quiver Subtraction
• Quiver Polymerisation
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers
• FI-flows of 3d N=4 Theories