标题： 扩展超对称性和超-BF规范理论 显示英文标题

标题： Extended Supersymmetry and Super-BF Gauge Theories

摘要： 超对称-BF 规范理论中费米子动能项的缺失已被确立。 我们通过明确的非超对称（超空间）构造来实现这一点。 作为我们研究的一部分，我们给出了三维D=3，N=4超杨-米尔斯理论的超空间约束以及三维D=3，N=4超共形代数。 我们感兴趣解决的问题是，某些超对称-BF 理论的拓扑同类物，即所谓的超-BF 规范理论，具有扭曲费米子的动力学项。 我们证明了将后者映射到前者的过程包括扭曲费米子的霍奇分解。 结合这一结果，我们认为自然的做法是修改超对称-BF 理论的幼稚路径积分测度，以包含雷-辛格解析扭转。 显示英文摘要

摘要： The absence of fermion kinetic terms in supersymmetric-BF gauge theories is established. We do this by means of explicit off-shell (superspace) constructions. As part of our study we give the superspace constraints for D=3, N=4 super Yang-Mills along with the D=3, N=4 superconformal algebra. The puzzle we are interested in solving is the fact that the topological cousins, known as super-BF gauge theories, of certain supersymmetric-BF theories have kinetic terms for the twisted fermions. We show that the map which takes the latter to the former includes a Hodge decomposition of the twisted fermions. In conjunction with this result, we argue that it is natural to modify the naive path integral measure of supersymmetric-BF theories to include the Ray-Singer analytic torsion.