Hybrid classical integrability in squashed sigma models
| Autor: | Kentaroh Yoshida, Io Kawaguchi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics R-symmetry Sigma model Yang–Baxter equation FOS: Physical sciences Mathematical Physics (math-ph) Symmetry (physics) Poisson bracket High Energy Physics - Theory (hep-th) Monodromy Quantum electrodynamics Homogeneous space Yangian Mathematical Physics Mathematical physics |
| Popis: | We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to develop the two descriptions to describe its classical dynamics, 1) rational and 2) trigonometric descriptions. The former 1) is based on the SU(2)_L symmetry and the latter 2) comes from the broken SU(2)_R symmetry. Each of the Lax pairs constructed in both ways leads to the same equations of motion. The two descriptions are related one another through a non-local map. 12 pages, LaTeX, typos corrected and references added, further clarification added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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