Supersymmetric Yang-Mills quantum mechanics in various dimensions
J. Wosiek
TL;DR
This paper reviews recent analytical and numerical solutions of supersymmetric Yang-Mills quantum mechanics across various dimensions, highlighting the construction of vacua, spectral analysis, and new state formations.
Contribution
It provides new analytical constructions of supersymmetric vacua, numerical spectral analyses, and introduces a novel gluinoless SO(9) singlet state in ten dimensions.
Findings
Exact supersymmetric vacua in 2D
Spectral analysis in 4D with supermultiplet identification
New gluinoless SO(9) singlet state in 10D
Abstract
Recent analytical and numerical solutions of the above systems are reviewed. Discussed results include: a) exact construction of the supersymmetric vacua in two space-time dimensions, and b) precise numerical calculations of the coexisting continuous and discrete spectra in the four-dimensional system, together with the identification of dynamical supermultiplets and SUSY vacua. New construction of the gluinoless SO(9) singlet state, which is vastly different from the empty state, in the ten-dimensional model is also briefly summarized.
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