R-symmetry gauged 6D (1, 0) supergravities free from all local anomalies, with gauge groups G × GR where GR is the R-symmetry group and G is semisimple with rank greater than one, and which have no hypermultiplet singlets, are extremely rare. There are three such models known in which the gauge symmetry group is G1 × G2 × U(1)R, where the first two factors are (E6/Z3)×E7, G2 × E7 and F4 × Sp(9). These are models with single tensor multiplet, and hyperfermions in the (1, 912), (14, 56) and (52, 18) dimensional representations of G1 × G2, respectively. So far, it is not known if these models follow from string theory. We highlight key properties of these theories, and examine constraints which arise from the consistency of the quantization of anomaly coefficients formulated in their strongest form by Monnier and Moore. Assuming that the gauged models accommodate dyonic string excitations, we find that these constraints are satisfied only by the model with the F4 × Sp(9) × U(1)R symmetry. We also discuss aspects of dyonic strings and potential caveats they may pose in applying the stated consistency conditions to the R-symmetry gauged models.

中文翻译：

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关于一类 R 对称性测量的一致性 6 DN = (1,0) 超重力


R 对称测量的 6D (1, 0) 超重力没有任何局部异常，规范群 G × GR，其中 GR 是 R 对称群，G 是阶大于 1 的半单，并且没有超多重态单重态，是极其稀有的。已知三种这样的模型，其中规范对称群为 G1 × G2 × U(1)R，其中前两个因子为 (E6/Z3)×E7、G2 × E7 和 F4 × Sp(9)。这些是具有单张量多重态的模型，以及分别采用 G1 × G2 的 (1, 912)、(14, 56) 和 (52, 18) 维表示的超费米子。到目前为止，尚不清楚这些模型是否遵循弦理论。我们强调这些理论的关键属性，并检查由莫尼尔和摩尔以最强形式表述的异常系数量化的一致性所产生的约束。假设测量模型适应动力弦激励，我们发现只有具有 F4 × Sp(9) × U(1)R 对称性的模型才能满足这些约束。我们还讨论了动力弦的各个方面以及它们在将规定的一致性条件应用于 R 对称测量模型时可能提出的潜在警告。