标题： 对偶性及三维空间中费米子-玻色子转变的算符实现 显示英文标题

标题： Duality and an Operator Realization for the Fermi-Bose Transmutation in 3+1 Dimensions

摘要： 我们考虑在对称破缺相中的麦克斯韦-希格斯系统，该系统通过一个卡布-拉蒙德场与电磁场通过拓扑耦合来描述。 然后我们研究了分别携带点电荷和闭合磁弦的状态的产生算符，在电磁语言中或在卡布-拉蒙德对偶语言中分别携带点拓扑电荷和闭合卡布-拉蒙德带电弦。 它们的对易关系被计算出来，表明它们满足对偶代数，而它们的复合体具有广义统计性质。 在弦半径消失的局部极限情况下，只允许费米或玻色统计。 这为3+1维中的统计转变得到了显式的算符实现。 显示英文摘要

摘要： We consider the Maxwell-Higgs system in the broken phase, described in terms of a Kalb-Ramond field interacting with the electromagnetic field through a topological coupling. We then study the creation operators of states which respectively carry a point charge and a closed magnetic string in the electromagnetic language or a point topological charge and a closed Kalb-Ramond charged string in the Kalb-Ramond dual language. Their commutation relation is evaluated, implying they satisfy a dual algebra and their composite possesses generalized statistics. In the local limit where the radius of the string vanishes, only Fermi or Bose statistics are allowed. This provides an explicit operator realization for statistical transmutation in 3+1D.