UNITARY MATRIX MODELS AND PAINLEVÉ III

MASATO HISAKADO
1996 Modern Physics Letters A  
We discussed the full unitary matrix models from the view points of integrable equations and string equations. Coupling the Toda equations and the string equations, we derive a special case of the Painlevé III equation. From the Virasoro constrains, we can use the radial coordinate. The relation between t_1 and t_-1 is like the complex conjugate. tt̅ fusion of topological sigma model
doi:10.1142/s0217732396002976 fatcat:5ku5ltufkrh57jmozvcypzw7ey