论文标题
S-aintial和loop操作员
S-duality and loop operators in canonical formalism
论文作者
论文摘要
我们研究了Yang-Mills理论的规范形式主义中的规格不变式操作员，以及$ \ Mathcal {n} = 4 $ super-yang-mills理论，并带有规格组$ u（n）$。结果表明，按量规组的任意不可约表示标记的't Hooft Operator的频谱与由同一表示标记的Wilson操作员的频谱相同。因此，可以构建一个统一的操作员$ s $，从而使两种循环操作员相互转变。 S偶尔转换可以由运营商$ S $实现。我们计算了循环操作员的超对称变化，并关闭了费米子耦合。结果与期望$ s $的操作应使增压转换的$ u（1）_ {y} $相一致。
We study the gauge invariant 't Hooft operator in canonical formalism for Yang-Mills theory as well as the $\mathcal{N} =4 $ super-Yang-Mills theory with the gauge group $ U(N) $. It is shown that the spectrum of the 't Hooft operator labeled by the arbitrary irreducible representation of the gauge group is the same as the spectrum of the Wilson operator labeled by the same representation. So it is possible to construct a unitary operator $ S $ making the two kinds of loop operators transformed into each other. S-duality transformation could be realized by the operator $ S $. We compute the supersymmetry variations of the loop operators with the fermionic couplings turned off. The result is consistent with the expectation that the action of $ S $ should make supercharges transform with a $ U(1)_{Y} $ phase.
