2020/03/31 by Osamu Fukushima, J. Sakamoto, Jun-ichi Sakamoto +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Chern–Simons theory #Chiral model #Computer science #Deformation (meteorology) #Function (biology) #Gauge theory #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Physics #Principal (computer security) #Quantum Chromodynamics and Particle Interactions #Theoretical physics #Trigonometric functions #Trigonometry #Twist #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2020.115080
45 pages, 1 figure: minor modifications, further clarifications and references added. Matches the published version in NPB
openalex created_date 2020/03/23 · openalex publication_date 2020/06/08 · arxiv created 2020/06/10 · arxiv updated 2020/07/15 · openalex updated_date 2026/08/05
We study η-deformations of principal chiral model (PCM) from the viewpoint of a 4D Chern-Simons (CS) theory. The η-deformed PCM has originally been derived from the 4D CS theory by Delduc, Lacroix, Magro and Vicedo [arXiv:1909.13824]. The derivation is based on a twist function in the rational description. On the other hand, we start with a twist function in the trigonometric description and discuss possible boundary conditions. We show that a certain boundary condition reproduces the usual η-deformed PCM and another one leads to a new kind of Yang-Baxter deformation.