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Born-Oppenheimer quantization of the matrix model for N=1 super-Yang-Mills theory

Díez, VE and Pandey, M and Vaidya, S (2020) Born-Oppenheimer quantization of the matrix model for N=1 super-Yang-Mills theory. In: Physical Review D, 102 (7).

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Official URL: https://doi.org/10.1103/PhysRevD.102.074024


We construct a quantum mechanical matrix model that is a dimensional reduction of N=1 super-Yang-Mills on S3×R. We do so by pulling back the set of left-invariant connections of the gauge bundle onto the real superspace, with the spatial R3 compactified to S3. We quantize the N=1 SU(2) matrix model in the weak-coupling limit g1, with g 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.

Item Type: Journal Article
Publication: Physical Review D
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to The Author(S).
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 11 Jan 2023 05:00
Last Modified: 11 Jan 2023 05:00
URI: https://eprints.iisc.ac.in/id/eprint/79035

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