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Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories

Kenneth Intriligator
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Abstract

We point out that the low energy theory of 6d, N=(2,0) field theories, when away from the origin of the moduli space of vacua, necessarily includes a new kind of Wess-Zumino term. The form of this term is related to the Hopf invariant associated with π_7 (S^4). The coefficient of the Wess-Zumino term is fixed by an anomaly matching relation for a global flavor symmetry. For example, in the context of a single M5 brane probe in the background of N distant M5 branes, the probe must have the Hopf-WZ term with coefficient proportional to N(N+1). Various related checks and observations are made. We also point out that there are skyrmionic strings, and propose that they are the W-boson strings.

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Kenneth Intriligator. 2000-03-01. Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories. https://doi.org/10.1016/s0550-3213(00)00148-6

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