标题： 转动膜与Skyrmions再探 显示英文标题

标题： The Spinning Membrane and Skyrmions Revisited

摘要： 提出了膜的一个局域世界体积Q超对称且共形不变的拉格朗日量。 分析了过去一些作者提出的关于代数消除耦合函数超多重态中的辅助场的问题，并予以解决。 起始的玻色子作用量是Dolan和Tchrakian给出的作用量，具有零宇宙常数以及二次和四次导数项。 我们的拉格朗日量与Lindstrom和Rocek的不同之处在于它是场的多项式形式，这有利于量子化过程。 严格论证指出，如果希望构造不含曲率项且超对称线性实现的多项式作用量，在辅助场被消除后，必须放弃S超对称，而仅仅关注与三维超共形代数相关的Q超对称。 同时指出了这种自旋膜作用量在D-膜、Skyrmions以及BPS单极子理论中的可能作用。 显示英文摘要

摘要： A local world volume Q-supersymmetric Weyl invariant Lagrangian for the membrane is presented. An analysis is provided which solves the problems raised by some authors in the past concerning the algebraic elimination of the auxiliary fields belonging to the coupling function supermultiplet. The starting bosonic action is the one given by Dolan and Tchrakian with vanishing cosmological constant and with quadratic, quartic derivative terms. Our Lagrangian differs from the one of Lindstrom and Rocek in the fact that is polynomial in the fields facilitating the quantization process. It is argued, rigorously, that if one wishes to construct polynomial actions without curvature terms and where supersymmetry is linearly realized, after the elimination of auxiliary fields, one must relinquish S supersymmetry and concentrate solely on the Q-supersymmetry associated with the superconformal algebra in three dimensions. The role that this spinning membrane action may have in the theory of D-branes, Skyrmions and BPS monopoles is also pointed out.