Hierarchies of RG flows in 6d $(1,0)$ massive E-strings

Abstract

We extend the analysis of arXiv:2208.11703 to the 6d $(1,0)$ SCFTs known as massive E-string theories, which can be engineered in massive Type IIA with $8-n_0<8$ D8-branes close to an O8${}^{-}$ (or O8${}^{\ast }$ if $n_0=8,9$). For each choice of $n_0=1,\dots ,9$ the massive $E_{1+(8-n_0)}$-strings (including the more exotic ${\tilde{E}}_1$ and $E_0$) are classified by constrained $E_8$ Kac labels, i.e. a subset of $\text{Hom}({\mathbb{Z}}_k,E_8)$, from which one can read off the flavor subalgebra of $E_{1+(8-n_0)}$ of each SCFT. We construct hierarchies for two types of Higgs branch RG flows: flows between massive theories defined by the same $n_0$ but different labels; flows between massive theories with different $n_0$. These latter flows are triggered by T-brane vev's for the right $\mathrm{SU}$ factor of the SCFT global symmetry, whose rank is a function of both $k$ and $n_0$, a situation which has so far remained vastly unexplored.

arXiv commentPart II of a series of papers; 37+11 pages; 13 figures

References in corpus (59)

• D-Branes And K-Theory
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Evidence for Heterotic - Type I String Duality
• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• F-theory and Orientifolds
• Extremal Transitions and Five-Dimensional Supersymmetric Field Theories
• Atomic Classification of 6D SCFTs
• 6d Conformal Matter
• Branes and Six Dimensional Supersymmetric Theories
• All AdS_7 solutions of type II supergravity
• Small Instantons, del Pezzo Surfaces and Type I' theory
• On Geometric Classification of 5d SCFTs
• Holography for (1,0) theories in six dimensions
• 5d Superconformal Field Theories and Graphs
• Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories
• 6D SCFTs and Phases of 5D Theories
• From Dynkin diagram symmetries to fixed point structures
• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• Branes and Six Dimensional Fixed Points
• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• 6d holographic anomaly match as a continuum limit
• Discrete theta and the 5d superconformal index
• Quiver Subtractions
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• T^σ_ρ(G) Theories and Their Hilbert Series
• 6D RG Flows and Nilpotent Hierarchies
• Twisted Circle Compactifications of 6d SCFTs
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• Compactness of Brane Moduli and the String Lamppost Principle in $d>6$
• String Creation and Heterotic-Type I' Duality
• Fission, Fusion, and 6D RG Flows
• Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
• (8,0) Quantum mechanics and symmetry enhancement in type I' superstrings
• AdS${}_7$/CFT${}_6$ with orientifolds
• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• The Moduli Space and M(atrix) Theory of 9d N=1 Backgrounds of M/String Theory
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• The ABCDEF's of Matrix Models for Supersymmetric Chern-Simons Theories
• Small instanton transitions for M5 fractions
• Brane Transfer Operations and T-Duality of Non-BPS States
• On Heterotic Orbifolds, M Theory and Type I' Brane Engineering
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• AdS5 compactifications with punctures in massive IIA supergravity
• Tachyon condensation in unstable type I D-brane systems
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• Quiver origami: discrete gauging and folding
• Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities
• Charges and holography in 6d (1,0) theories
• New Supersymmetric String Theories from Discrete Theta Angles
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• The moduli space of instantons on an ALE space from 3d $\mathcal{N}=4$ field theories
• Coulomb Branch Global Symmetry and Quiver Addition
• Matching the BPS Spectra of Heterotic - Type I - Type I' Strings
• Probing 7-branes on Orbifolds
• Orientifolds and twisted boundary conditions
• A New String in Ten Dimensions?
• The minimal degeneration singularities in the affine Grassmannians

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• Higgs branch RG-flows via Decay and Fission
• Decay and Fission of Magnetic Quivers
• The Higgs branch of Heterotic ALE instantons
• A new vista on the Heterotic Moduli Space from Six and Three Dimensions
• Orthosymplectic Quotient Quiver Subtraction
• Quotient Quiver Subtraction
• Atomic Higgsings of 6D SCFTs
• Atomic Higgsings of 6D SCFTs II: Induced Flows
• Quiver Polymerisation
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D