2018/03/28 by T. A. Ivanova, Tatiana A. Ivanova, Olaf Lechtenfeld +1
Engineering · Mathematics · Physics and Astronomy · #Abelian group #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Engineering #Gauge theory #Mathematical physics #Mathematics #Operations management #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Sigma #Six Sigma #Theoretical physics #Yang–Mills theory #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.physletb.2018.04.013
1+9 pages
arxiv created 2018/03/28 · openalex publication_date 2018/04/09 · arxiv updated 2018/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider SU(N) Yang–Mills theory on R2,1×S1, where S1 is a spatial circle. In the infrared limit of a small-circle radius the Yang–Mills action reduces to the action of a sigma model on R2,1 whose target space is a 2(N−1)-dimensional torus modulo the Weyl-group action. We argue that there is freedom in the choice of the framing of the gauge bundles, which leads to more general options. In particular, we show that this low-energy limit can give rise to a target space SU(N)×SU(N)/ZN. The latter is the direct product of SU(N) and its Langlands dual SU(N)/ZN, and it contains the above-mentioned torus as its maximal Abelian subgroup. An analogous result is obtained for any non-Abelian gauge group.