Gauge-theoretic anomaly cancellation predicts the existence of many 6d SCFTs and little string theories (LSTs) that have not been given a string theory construction so far. In this paper, we provide an explicit construction of all such "missing" 6d SCFTs and LSTs by using the frozen phase of F-theory. We conjecture that the full set of 6d SCFTs and LSTs is obtained by combining the set of theories constructed in this paper with the set of theories that have been constructed in earlier literature using the unfrozen phase of F-theory. Along the way, we demonstrate that there exist SCFTs that do not descend from LSTs via an RG flow.

中文翻译：

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重新审视 6d SCFT 和 LST 的分类

规范理论异常消除预测了许多 6d SCFT 和小弦理论 (LST) 的存在，这些理论迄今尚未给出弦理论构造。在本文中，我们通过使用 F 理论的冻结阶段提供了所有此类“缺失”的 6d SCFT 和 LST 的显式构造。我们推测，完整的 6d SCFT 和 LST 集是通过将本文构建的理论集与早期文献中使用 F 理论的未冻结阶段构建的理论集相结合而获得的。在此过程中，我们证明存在不通过 RG 流从 LST 下降的 SCFT。