Abstract
We construct a quantum mechanical matrix model that is a dimensional reduction of super-Yang-Mills on . We do so by pulling back the set of left-invariant connections of the gauge bundle onto the real superspace, with the spatial compactified to . We quantize the matrix model in the weak-coupling limit , with the dimensionless gauge coupling constant, using the Born-Oppenheimer approximation and find that different superselection sectors emerge for the effective gluon dynamics in this regime, reminiscent of different phases of the full quantum theory. We demonstrate that the Born-Oppenheimer quantization is indeed compatible with supersymmetry, albeit in a subtle manner. In fact, we can define effective supercharges that relate the different sectors of the matrix model’s Hilbert space. These effective supercharges have a different definition in each phase of the theory.
- Received 6 February 2020
- Accepted 30 September 2020
DOI:https://doi.org/10.1103/PhysRevD.102.074024
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society