Quadratic twist-noncommutative gauge theory

2023/01/20 by Tim Meier, Meier, Tim, Stijn J. van Tongeren +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2301.08757

openalex publication_date 2023/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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×S⁵, which is expected to be integrable in the planar limit.

Cited by

• Non-commutative deformations of gauge theories via Drinfel'd twists of the scale symmetry
• Integrability for the spectrum of Jordanian AdS/CFT
• Covariant quantization of field theories on T-Minkowski noncommutative spacetimes

Related

• Gauge theory on twist-noncommutative spaces
• D-branes, gauge/string duality and noncommutative theories
• Non-commutative deformations of gauge theories via Drinfel'd twists of the scale symmetry
• Noncommutative Gauge Theory beyond the Canonical Case
• Yang-Mills Theories on Noncommutative Space-Time