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

By K. Intriligator. 2000

147 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/17a8db802f2e09111002f81fcaad9bf46df5a817

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Citations in the corpus

Two-dimensional SCFTs from wrapped branes and c-extremization (2013, background): “For a generic N = (2, 0) theory of type G the anomaly polynomial is [14, 72,73]”
Anomaly polynomial of general 6D SCFTs (2014, methodology): “The general formula was conjectured in [28], and the anomaly polynomial of N=(2, 0) theory of Dn was obtained by inflow analysis in [29].”
Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories (2012, methodology): “The global terms, which are proportional to (g − 1), were calculated in [56, 57] using the anomaly polynomials of the 6d N = (2, 0) theories determined in [58, 59, 60].”
On instantons as Kaluza-Klein modes of M5-branes (2011, methodology): “The coefficient of this anomaly is given by [53, 54] nW ≡ |G| − |H| − 1 ∈ 2Z , (4.”
Instantons on the 5-sphere and M5-branes (2012, background): “It is curious to find that the same combination c2|G| appears as an anomaly coefficient of the 6d ADE (2, 0) theory [44].”