标题： 关于弦理论非可逆对称性的命运 显示英文标题

标题： On the Fate of Stringy Non-Invertible Symmetries

摘要： 量子场论（QFT）中的非可逆对称性将熟悉的群乘法规则推广到更一般的融合规则。 在许多情况下，这些对称性的规范版本可以被视为可逆规范对称性的对偶描述。 有人可能会问：是否存在其他类型的非可逆规范对称性？ 在有引力的理论中，我们发现在基本无张力弦的极限下出现了一种新的非可逆规范对称形式。 这些弦论中的非可逆规范对称性出现在标准例子中，比如非阿贝尔 orbifolds。 远离无张力极限总是会破坏这些对称性。 我们还发现，传统的非可逆规范对称形式以及这些弦论中的推广都在AdS/CFT中实现。 尽管通常被破坏，近似的非可逆对称性对Swampland约束有影响：在某些情况下，它们可以用来证明与距离猜想相关的状态塔的存在，并且有时可以解释稍微次极端态的存在，这些态填补了弱引力猜想子晶格中的空隙。 显示英文摘要

摘要： Non-invertible symmetries in quantum field theory (QFT) generalize the familiar product rule of groups to a more general fusion rule. In many cases, gauged versions of these symmetries can be regarded as dual descriptions of invertible gauge symmetries. One may ask: are there any other types of non-invertible gauge symmetries? In theories with gravity we find a new form of non-invertible gauge symmetry that emerges in the limit of fundamental, tensionless strings. These stringy non-invertible gauge symmetries appear in standard examples such as non-abelian orbifolds. Moving away from the tensionless limit always breaks these symmetries. We also find that both the conventional form of non-invertible gauge symmetries and these stringy generalizations are realized in AdS/CFT. Although generically broken, approximate non-invertible symmetries have implications for Swampland constraints: in certain cases they can be used to prove the existence of towers of states related to the Distance Conjecture, and can sometimes explain the existence of slightly sub-extremal states which fill in the gaps in the sublattice Weak Gravity Conjecture.