Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories

Abstract

We study the defect groups of $D_p^b(G)$ theories using geometric engineering and BPS quivers. In the simple case when $b=h^{\vee }(G)$, we use the BPS quivers of the theory to see that the defect group is compatible with a known Maruyoshi-Song flow. To extend to the case where $b\ne h^{\vee }(G)$, we use a similar Maruyoshi-Song flow to conjecture that the defect groups of $D_p^b(G)$ theories are given by those of $G^{(b)}[k]$ theories. In the cases of $G=A_n,E_6,E_8$ we cross check our result by calculating the BPS quivers of the $G^{(b)}[k]$ theories and looking at the cokernel of their intersection matrix.

arXiv comment22 pages, v2: Added references, v3: Added references and fixed typos

References in corpus (37)

• Generalized Global Symmetries
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Symmetries and Strings in Field Theory and Gravity
• Coupling a QFT to a TQFT and Duality
• Reading between the lines of four-dimensional gauge theories
• On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted version)
• General Argyres-Douglas Theory
• AdS/CFT Correspondence And Topological Field Theory
• On the Defect Group of a 6D SCFT
• N=1 Deformations and RG Flows of N=2 SCFTs
• Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index
• Generalized Global Symmetries of $T[M]$ Theories. I
• The Uncertainty of Fluxes
• Heisenberg Groups and Noncommutative Fluxes
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• More on the N=2 superconformal systems of type $D_p(G)$
• Lagrangians for generalized Argyres-Douglas theories
• Higher Form Symmetries and M-theory
• Classification of Argyres-Douglas theories from M5 branes
• Higher-form symmetries of 6d and 5d theories
• Infinitely many N=2 SCFT with ADE flavor symmetry
• IIB flux non-commutativity and the global structure of field theories
• Chiral algebra of Argyres-Douglas theory from M5 brane
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Discrete and higher-form symmetries in SCFTs from wrapped M5-branes
• Holography, 1-Form Symmetries, and Confinement
• Higher Form Symmetries of Argyres-Douglas Theories
• On Arnold's 14 `exceptional' N=2 superconformal gauge theories
• New aspects of Argyres--Douglas theories and their dimensional reduction
• D-Branes on Calabi-Yau Manifolds
• Instantons, Symmetries and Anomalies in Five Dimensions
• RG flows with supersymmetry enhancement and geometric engineering
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Non-Simply-Connected Symmetries in 6D SCFTs
• No go for a flow

Cited by in corpus (25)

• The Branes Behind Generalized Symmetry Operators
• Non-invertible Symmetries of Class $\mathcal{S}$ Theories
• Lecture Notes on Generalized Symmetries and Applications
• 2-Group Symmetries in Class S
• Higher-Form Symmetries and Their Anomalies in M-/F-Theory Duality
• Symmetry TFTs for 3d QFTs from M-theory
• Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
• 2-Group Symmetries and M-Theory
• Higher Symmetries of 5d Orbifold SCFTs
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds
• Comments on Non-invertible Symmetries in Argyres-Douglas Theories
• Anomalies of Generalized Symmetries from Solitonic Defects
• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• Remarks on Geometric Engineering, Symmetry TFTs and Anomalies
• Disconnected 0-Form and 2-Group Symmetries
• Dirac pairings, one-form symmetries and Seiberg-Witten geometries
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Super-Spin Chains for 6D SCFTs
• Disconnected gauge groups in the infrared
• B-brane transport in anomalous (2,2) models and localization
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories
• Symmetry TFTs from String Theory