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Some comments on 6d global gauge anomalies
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abstract
Global gauge anomalies in $6d$ associated with non-trivial homotopy groups $\pi_6(G)$ for $G=SU(2)$, $SU(3)$, and $G_2$ were computed and utilized in the past. In the modern bordism point of view of anomalies, however, they come from the bordism groups $\Omega^\text{spin}_7(BG)$, which are in fact trivial and therefore preclude their existence. Instead, it was noticed that a proper treatment of the $6d$ Green-Schwarz mechanism reproduces the same anomaly cancellation conditions derived from $\pi_6(G)$. In this paper, we revisit and clarify the relation between these two different approaches.
Forward citations
Cited by 5 Pith papers
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Global anomalies in $6D$ gauged supergravities
New anomaly-free six-dimensional R-symmetry gauged supergravities are presented, and global anomaly freedom is shown to impose the constraints n_V ≡ 8 mod 12 (U(1)_R) and n_V = 60 (Sp(1)_R).
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Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism
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Diagonally gauged anomaly-free 6D supergravities and their vacua
Bounded scans yield 706 single-factor and 1559 two-factor anomaly-free 6D (1,0) models gauged by a diagonal U(1)_R+, and explicit supersymmetric Minkowski vacua for a subset.
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Non-supersymmetric branes and discrete topological terms
A direct computation from the tentative NS5-brane spectrum gives the opposite Z3 topological term (1/3 vs 2/3) from Tachikawa-Zhang, so the spectrum or the inflow interpretation must change.
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