Supersymmetric E7(7) exceptional field theory

Loops in exceptional field theory

Exceptional Supersymmetric Standard Model

We discuss some phenomenological aspects of an E6 inspired supersymmetric standard model with an extra U(1)N gauge symmetry under which right-handed neutrinos have zero charge, allowing a conventional see-saw mechanism. The μ problem is solved in a similar way to the NMSSM, but without the accompanying problems of singlet tadpoles or domain walls. The above exceptional supersymmetric standard m...

Supersymmetric Rings in Field Theory

We study the dynamics of BPS string-like objects obtained by lifting monopole and dyon solutions of N = 2 Super-Yang-Mills theory to five dimensions. We present exact traveling wave solutions which preserve half of the supersymmetries. Upon compactification this leads to macroscopic BPS rings in four dimensions in field theory. Due to the fact that the strings effectively move in six dimensions...

Theory and Phenomenology of an Exceptional Supersymmetric Standard Model

We make a comprehensive study of the theory and phenomenology of a low energy supersymmetric standard model originating from a string-inspired E6 grand unified gauge group. The Exceptional Supersymmetric Standard Model (ESSM) considered here is based on the low energy SM gauge group together with an extra Z ′ corresponding to an extra U(1)N gauge symmetry under which right–handed neutrinos have...

Supersymmetric Quantum Field Theory: Indefinite Metric

We study the recently introduced Krein structure (indefinite metric) of the N = 1 supersymmetry and present the way into physical applications outside path integral methods. From the mathematical point of view some perspectives are mentioned at the end of the paper.