English

Quadratic twist-noncommutative gauge theory

High Energy Physics - Theory 2023-02-07 v2

Abstract

Studies of noncommutative gauge theory have mainly focused on noncommutative spacetimes with constant noncommutative structure, with little known about actions for noncommutative 4D Yang-Mills theory beyond this case. We construct an action for Yang-Mills theory on a quadratically-noncommutative spacetime, i.e. of quantum-plane type, obtained from a Drinfeld twist, with star-gauge symmetry. Applied to supersymmetric Yang-Mills theory, this gives a candidate AdS/CFT dual of string theory on a related deformation of AdS5×_5\timesS5^5, which is expected to be integrable in the planar limit.

Keywords

Cite

@article{arxiv.2301.08757,
  title  = {Quadratic twist-noncommutative gauge theory},
  author = {Tim Meier and Stijn J. van Tongeren},
  journal= {arXiv preprint arXiv:2301.08757},
  year   = {2023}
}

Comments

v2, 6 pages letter format, corrected typographical errors, updated references

R2 v1 2026-06-28T08:16:35.687Z