Anomaly matching on the Higgs branch

Abstract

We point out that we can almost always determine by the anomaly matching the full anomaly polynomial of a supersymmetric theory in 2d, 4d or 6d if we assume that its Higgs branch is the one-instanton moduli space of some group G. This method not only provides by far the simplest method to compute the central charges of known theories of this class, e.g. 4d E_{6,7,8} theories of Minahan and Nemeschansky or the 6d E-string theory, but also gives us new pieces of information about unknown theories of this class.

23 pages

References in corpus (7)

• Anomaly polynomial of general 6d SCFTs
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Anomaly polynomial of E-string theories
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories
• 8d gauge anomalies and the topological Green-Schwarz mechanism
• 6d strings from new chiral gauge theories

Cited by in corpus (26)

• Vertex operator algebras, Higgs branches, and modular differential equations
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Top Down Approach to 6D SCFTs
• Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
• 8d Supergravity, Reconstruction of Internal Geometry and the Swampland
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• Compactness of Brane Moduli and the String Lamppost Principle in $d>6$
• Fission, Fusion, and 6D RG Flows
• On Irregular Singularity Wave Functions and Superconformal Indices
• F-theory and AdS_3/CFT_2 (2,0)
• Anomaly of the Electromagnetic Duality of Maxwell Theory
• Growing Extra Dimensions in AdS/CFT
• Free Field Realizations from the Higgs Branch
• General Prescription for Global U(1)'s in 6D SCFTs
• Magnetic quivers for rank 2 theories
• Folding Orthosymplectic Quivers
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• VOAs and rank-two instanton SCFTs
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• An N=1 Lagrangian for an N=3 SCFT
• The Partition Function Of Argyres-Douglas Theory On A Four-Manifold
• Bootstrapping (D, D) Conformal Matter
• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• Proving the 6d Cardy Formula and Matching Global Gravitational Anomalies
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Geometric Approaches to Quantum Fields and Strings at Strong Couplings