Comments on η-deformed principal chiral model from 4D Chern-Simons theory
Osamu Fukushima, J. Sakamoto, Kentaroh Yoshida
Abstract
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.
Topics & Concepts
TwistChern–Simons theoryTrigonometric functionsTrigonometryBoundary (topology)Function (biology)Chiral modelDeformation (meteorology)Boundary value problemPrincipal (computer security)PhysicsMathematicsTheoretical physicsMathematical physicsMathematical analysisGeometryComputer scienceGauge theoryBiologyMeteorologyEvolutionary biologyOperating systemBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsQuantum Chromodynamics and Particle Interactions