二维超对称模型的超对称破缺和Witten指数

BREAKING OF SUPERSYMMETRY AND WITTEN INDEX IN TWO-DIMENSIONAL SUPERSYMMETRIC MODELS

构造了一类超势W=(1/n)gφ~n的二维O(N)对称超对称模型,详细计算了此类模型的Witten指数△。结果表明,当n为偶数时,超对称一定不能破缺,而当n为奇数时,超对称可以破缺。利用大N展开法,还研究了上述模型的超对称自发破缺机制,同时给出了相应的粒子谱。

We construct a wider class of O(N) supersymmetric (SUSY) models with so-perpotential W = (l/n)gφn in two-dimensions. The witten index △ of the models is evaluated in detail. It is shown that SUSY breaking does not occur when n is even, and can occur when n is odd. By using large-N expansion, a mechanism for spontaneous SUSY breaking is investigated. Finally, we present the particle spectra.