Year: 2026
Type: preprint
Abstract: We study the quantum dynamics of supersymmetric Galilean Yang-Mills (SGYM), with a focus on three dimensions where there is a classical scale symmetry. This is believed to be the worldvolume theory describing D2-branes within type IIA non-relativistic string theory and arises as a non-relativistic limit of maximally supersymmetric (relativistic) Yang-Mills. Unlike the relativistic case, we find that SGYM only admits perturbative dynamical excitations on the Coulomb branch. We show that in three dimensions the classical scale symmetry is broken at one-loop due to logarithmic divergences which cannot be absorbed by renormalization of existing couplings. As such we find that SGYM is non-renormalizable. However, we argue that by including additional marginal deformations the original coupling can be renormalized and rendered asymptotically free. Finally, we propose that three-dimensional SGYM flows to a strongly coupled non-relativistic M2-brane theory.
Source: arXiv (Cornell University)
Authors: Lambert, Neil, Smith, Joseph
Institutions: King's College London, University of Birmingham
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203892738