Green-Schwarz Automorphisms and 6D SCFTs

Abstract

All known interacting 6D superconformal field theories (SCFTs) have a tensor branch which includes anti-chiral two-forms and a corresponding lattice of string charges. Automorphisms of this lattice preserve the Dirac pairing and specify discrete global and gauge symmetries of the 6D theory. In this paper we compute this automorphism group for 6D SCFTs. This discrete data determines the geometric structure of the moduli space of vacua. Upon compactification, these automorphisms generate Seiberg-like dualities, as well as additional theories in discrete quotients by the 6D global symmetries. When a perturbative realization is available, these discrete quotients correspond to including additional orientifold planes in the string construction.

v2: 66 pages, 5 figures, updated references and clarifications added

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• Revisiting the classifications of 6d SCFTs and LSTs
• 4D Gauge Theories with Conformal Matter
• F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter
• T-Branes, String Junctions, and 6D SCFTs
• General Prescription for Global U(1)'s in 6D SCFTs
• Non-Simply-Connected Symmetries in 6D SCFTs
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• Nilpotent Networks and 4D RG Flows
• The Fate of Discrete 1-Form Symmetries in 6d
• Precision Higgs Boson Probe of Type-II Seesaw Models