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6d, N=(1,0) Coulomb Branch Anomaly Matching

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arxiv 1408.6745 v1 pith:HIYQYPIW submitted 2014-08-28 hep-th

classification hep-th
keywords anomalymatchinganalogbranchcoulombdeltaglobalinstantons
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

6d QFTs are constrained by the analog of 't Hooft anomaly matching: all anomalies for global symmetries and metric backgrounds are constants of RG flows, and for all vacua in moduli spaces. We discuss an anomaly matching mechanism for 6d N=(1,0) theories on their Coulomb branch. It is a global symmetry analog of Green-Schwarz-West-Sagnotti anomaly cancellation, and requires the apparent anomaly mismatch to be a perfect square, $\Delta I_8={1\over 2}X_4^2$. Then $\Delta I_8$ is cancelled by making $X_4$ an electric / magnetic source for the tensor multiplet, so background gauge field instantons yield charged strings. This requires the coefficients in $X_4$ to be integrally quantized. We illustrate this for N=(2,0) theories. We also consider the N=(1,0) SCFTs from N small $E_8$ instantons, verifying that the recent result for its anomaly polynomial fits with the anomaly matching mechanism.

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  1. Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism

    hep-th 2025-01 conditional novelty 7.0 of 10

    M5 bordism classifies the invertible phases of 6d (2,0) anomaly theories, and the Hopf-Wess-Zumino term is the phase that transgresses to the second Pontryagin class.

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