Supersymmetric Yang-Mills quantum mechanics: from two to ten dimensions
As an introduction we present exact construction of the ground state of the D=2 model and its behaviour under the supersymmetry transformations. Then the new high precision results on the spectrum of low lying supermultiplets of the D=4 theory will be shown.
Finally, we will discuss in some details the unusual properties of the D=10 model, namely non-conservation of the fermion number and the resolution of this apparent paradox in terms of the content of SO(9) representations of the system.
Jagellonian University, Krakow, Poland
Recent progress in studying supersymmetric Yang-Mills quantum mechanics in various space-time dimensions, D, will be reported.As an introduction we present exact construction of the ground state of the D=2 model and its behaviour under the supersymmetry transformations. Then the new high precision results on the spectrum of low lying supermultiplets of the D=4 theory will be shown.
Finally, we will discuss in some details the unusual properties of the D=10 model, namely non-conservation of the fermion number and the resolution of this apparent paradox in terms of the content of SO(9) representations of the system.
Jagellonian University, Krakow, Poland
