Cotangent bundle over all the compact Hermitian symmetric spaces and projective superspace

8th International Symposium on Quantum Theory and Symmetries

Arai, Masato^1,2

Fukushima National College of Technology, Iwaki, Fukushima 970-8034, Japan^1

Institute of Experimental and Applied Physics, Czech Technical University in Prague, Horská 22, 128 00 Prague 2, Czech Republic^2

关键词: Four-dimensional space;    Hermitian symmetric spaces;    Nonlinear sigma model;    Superspace;    Superspace formalism;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/512/1/012016/pdf
DOI  :  10.1088/1742-6596/512/1/012016

来源: IOP

【 摘 要 】

We construct the N 2 supersymmetric nonlinear sigma model on the cotangent bundle over the compact Hermitian symmetric space E7/E6× U(1) by using the projective superspace formalism which is an off-shell superfield formulation in four-dimensional space-time. We also give a simple formula giving the hyper-Kahler potential of the cotangent bundle over all the compact Hermitian symmetric spaces.