arXiv 1012.03232010-12-01hep-th

K场论的一个简单超对称推广

A simple supersymmetric extension of K field theories

C. Adam, J. M. Queiruga, J. Sanchez-Guillen

备注：: latex, 14 pages

摘要：

我们继续研究最近恢复的具有非标准动力学项的场论的超对称扩展（K场论）。具体地，对于允许1+1维中的扭结或牛顿解的K场论，即，对于更高维的畴壁，我们发现了一个简单的超对称扩展，使得玻色子场仍然具有扭结解，并且在扭结背景中费米子的场方程是线性的，并且由扭结的一阶空间导数求解，这与相应的标准超对称理论中的情况相同。然而，这种超对称扩张在几个方面是特殊的。超对称拉格朗日量的玻色部分不等于原玻色K场拉格朗日量，但玻色场方程重合。此外，玻色子场的场方程由辅助场的变化产生，反之亦然。这一观察可能会引起一些独立的兴趣。最后，扭解的存在并不导致超对称代数的中心扩张，与标准情况相反。

英文摘要：

We continue the investigation of supersymmetric extensions of field theories with a non-standard kinetic term (K field theories) resumed recently. Concretely, for K field theories which allow for kink or compacton solutions in 1+1 dimensions, i.e., for domain walls in a higher-dimensional context, we find a simple supersymmetric extension such that the boson field still has the kink solution, and the field equation for the fermion in the kink background is linear and is solved by the first spatial derivative of the kink, as is the case in the corresponding standard supersymmetric theories. This supersymmetric extension, nevertheless, is peculiar in several aspects. The bosonic part of the supersymmetric Lagrangian is not equal to the original bosonic K field Lagrangian, but the bosonic field equations coincide. Further, the field equation for the bosonic field is produced by the variation of the auxiliary field and vice versa. This observation may be of some independent interest. Finally, the presence of kink solutions does not lead to a central extension in the SUSY algebra, in contrast to the standard case.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文