Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories

Abstract

We obtain the anomaly polynomial of strings of general 6d $\mathcal{N}=(1,0)$ theories in terms of anomaly inflow. Our computation sheds some light on the reason why the simplest 6d $\mathcal{N}=(1,0)$ theory has $E_8$ flavor symmetry, and also partially explains a curious numerology in F-theory.

13 pages; v2: references added

References in corpus (7)

• 6d Conformal Matter
• Anomaly polynomial of general 6d SCFTs
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• E + E $\to$ H
• 6d strings from new chiral gauge theories
• Higher Derivative Terms, Toroidal Compactification, and Weyl Anomalies in Six-Dimensional (2,0) Theories
• M-strings in thermodynamic limit: Seiberg-Witten geometry

Cited by in corpus (21)

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• F-theory and AdS_3/CFT_2
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• Surface Defect, Anomalies and $b$-Extremization
• Swampland Constraints on 5d $\mathcal{N}=1$ Supergravity
• Elliptic Blowup Equations for 6d SCFTs. III: E-strings, M-strings and Chains
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• The discrete Green-Schwarz mechanism in 6D F-Theory and Elliptic Genera of Non-Critical Strings
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• Automatic Enhancement in 6D Supergravity and F-theory Models
• Blowup Equations for Little Strings
• Flavor Symmetries and Automatic Enhancement in the 6d Supergravity Swampland
• Weyl invariant Jacobi forms along Higgsing trees
• A new infinite class of $6d$, $\mathcal{N}=(1,0)$ supergravities
• Bootstrapping ADE M-strings
• On the consistency of a class of R-symmetry gauged 6D N=(1,0) supergravities
• Affine characters at negative level and elliptic genera of non-critical strings
• Refined BPS numbers on compact Calabi-Yau threefolds from Wilson loops
• EFT of 6D SUSY RG Flows
• From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy