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PreprintCC BY 4.0arXiv

Quantum Effects in Supersymmetric Galilean Yang-Mills

  • Neil Lambert
  • Joseph Smith
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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.

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Cite

BibTeXRIS
BibTeX
@misc{lambert2026quantum,
  title = {{Quantum Effects in Supersymmetric Galilean Yang-Mills}},
  author = {Neil Lambert and Joseph Smith},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.18843},
  eprint = {2608.18843},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.18843},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum Effects in Supersymmetric Galilean Yang-Mills
AU  - Neil Lambert
AU  - Joseph Smith
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2608.18843
UR  - https://arxiv.org/abs/2608.18843
AB  - 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.
ER  -