T-branes, Anomalies and Moduli Spaces in 6D SCFTs

Abstract

The worldvolume theory of M5-branes on an ADE singularity ${\mathbb{R}}^5/{\Gamma }_G$ can be Higgsed in various ways, corresponding to the possible nilpotent orbits of $G$. In the F-theory dual picture, this corresponds to activating T-brane data along two stacks of 7-branes and yields a tensor branch realization for a large class of 6D SCFTs. In this paper, we show that the moduli spaces and anomalies of these T-brane theories are related in a simple, universal way to data of the nilpotent orbits. This often works in surprising ways and gives a nontrivial confirmation of the conjectured properties of T-branes in F-theory. We use this result to formally engineer a class of theories where the IIA picture naïvely breaks down. We also give a proof of the $a$-theorem for all RG flows within this class of T-brane theories.

49 pages, references added v2; v3 published in JHEP

References in corpus (13)

• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• 6d Conformal Matter
• Mirrors of 3d Sicilian theories
• T-Branes and Monodromy
• Anomaly polynomial of general 6d SCFTs
• Holography for (1,0) theories in six dimensions
• Anomaly polynomial of E-string theories
• T^σ_ρ(G) Theories and Their Hilbert Series
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• Branes and the Kraft-Procesi Transition
• Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories
• Higher Derivative Terms, Toroidal Compactification, and Weyl Anomalies in Six-Dimensional (2,0) Theories
• 6d $\mathcal{N}=(1,0)$ theories on $T^2$ and class S theories: part I

Cited by in corpus (37)

• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• Quiver Subtractions
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• Fission, Fusion, and 6D RG Flows
• The Small $E_8$ Instanton and the Kraft Procesi Transition
• Revisiting the classifications of 6d SCFTs and LSTs
• AdS${}_7$/CFT${}_6$ with orientifolds
• 4D Gauge Theories with Conformal Matter
• T-Branes at the Limits of Geometry
• Small instanton transitions for M5 fractions
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• T-Branes, String Junctions, and 6D SCFTs
• General Prescription for Global U(1)'s in 6D SCFTs
• Fibrations and Hasse diagrams for 6d SCFTs
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• SUSY enhancement from T-branes
• Non-Simply-Connected Symmetries in 6D SCFTs
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Magnetic quivers and negatively charged branes
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Higgs branch RG-flows via Decay and Fission
• Green-Schwarz Automorphisms and 6D SCFTs
• Compact T-branes
• Holographic duals of 6d RG flows
• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• Nilpotent Networks and 4D RG Flows
• Orthosymplectic Quotient Quiver Subtraction
• The two faces of T-branes
• Non-Geometric Vacua of the $\text{Spin}(32)/{\mathbb{Z}}_2$ Heterotic String and Little String Theories
• T-branes and defects
• Atomic Higgsings of 6D SCFTs
• Isomorphisms of 4d N=2 SCFTs from 6d
• Atomic Higgsings of 6D SCFTs II: Induced Flows
• Monodromic T-Branes And The $SO(10{)}_{GUT}$
• Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D