论文标题
SU（$ n $）链的分数Instantons的质量生成
Mass generation by fractional instantons in SU($n$) chains
论文作者
论文摘要
最近，Haldane关于SU（2）链的猜想已被推广到对称表示中的SU（$ n $）链。对于排名$ $ p $表示，当$ p $和$ n $是coprime时，预计将有一个无间隙阶段；否则，存在有限的能量差距。在这项工作中，我们基于分数拓扑激励对这种行为提供了直观的解释，除非$ p $和$ n $没有共同的除数，否则能够产生质量差距。这是对SU（2）中较旧工作的概括，该作品解释了O（3）非线性Sigma模型中Merons的Haldane间隙的产生。
Recently, Haldane's conjecture about SU(2) chains has been generalized to SU($n$) chains in the symmetric representations. For a rank-$p$ representation, a gapless phase is predicted when $p$ and $n$ are coprime; otherwise, a finite energy gap is present above the ground state. In this work, we offer an intuitive explanation of this behavior based on fractional topological excitations, which are able to generate a mass gap except when $p$ and $n$ have no common divisor. This is a generalization of an older work in SU(2), which explains the generation of the Haldane gap in terms of merons in the O(3) nonlinear sigma model.
