导致有效相互作用时空方向不对称性的定向折叠矩阵和超对称性
Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions
摘要:
在IIB矩阵模型中考虑了保持超对称性的矩阵定向折叠的影响,并考虑了对角元素产生的有效动力学。以最大超对称性和单圈有效作用量的长距离展开以及矩阵尺寸较小的情况为例,我们证明了这种设置所带来的时空方向不对称性实际上导致了施加在时空点上的力的不对称性:除了两点之间的两体吸引力之外,还有朝向四维板的吸引力。
英文摘要:
Effects of matrix orientifolding that preserves supersymmetries are considered in the IIB matrix model with regard to its effective dynamics generated for diagonal elements. Taking the case of maximal supersymmetries and the long distance expansion of the one-loop effective action as well as cases where the size of the matrices is small, we demonstrate that the directional asymmetry of spacetime brought upon by this setup in fact leads to that of the forces exerting on the spacetime points: in addition to the two-body attraction between two points, there are attractions toward the four dimensional plate.
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