Phasenstruktur und exakte Niederenergie-Wirkungen in in N=1 supersymmetrischen String-, M- und F-Theorie Kompaktifizierungen

该项目的主要目标是发展几何和拓扑方法，以揭示四维空间中有效N=1超对称理论的物理性质，这些理论是通过紧致化或膜世界场景对弦、M和F理论进行各种降维而产生的。最终目标是详细描述一个具有手征物质和标准模型规范群的N=1理论，其中特别包括非微扰效应，这些效应最终可以动态地解释低尺度下的超对称性破缺。

The main objective of the project is the development of geometrical and topological methods to uncover the physical properties of effective N=1 supersymmetric theories in four dimensions, which result from various dimensional reductions of String-, M- and F-theory by compactification or in brane-world scenarios. The ultimate goal would be a detailed description of an N=1 theory with chiral matter and standard model gauge group, which incorporates especially the non-perturbative effects that eventually explain the breaking of supersymmetry at low scales dynamically.