Separation of variables in the WZW models
Oleg Lunin (Department of Physics, University at Albany (SUNY), 1400 Washington Av., Albany, NY, 12222, USA); Jia Tian (Kavli Institute for Theoretical Sciences (KITS), University of Chinese Academy of Science, No. 3, Nanyitiao, Zhongguancun, Haidian District, Beijing, 100190, P.R. China)
We consider dynamics of scalar and vector fields on gravitational backgrounds of the Wess-Zumino-Witten models. For SO(4) and its cosets, we demonstrate full separation of variables for all fields and find a close analogy with a similar separation of vector equations in the backgrounds of the Myers-Perry black holes. For SO(5) and higher groups separation of variables is found only in some subsectors.
