Titlebook: MathPhys Odyssey 2001; Integrable Models an Masaki Kashiwara,Tetsuji Miwa Book 2002 Birkhäuser Boston 2002 Applications of Mathematics.Comb

调色板

faculty

周年纪念日

Normalization Factors, Reflection Amplitudes and Integrable Systems, in W-invariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed conformal field theories. We apply these results to evaluate explicitly the expectation values of order parameters in the fie

旋转一周

轻率的你

牵索

,The Nonlinear Steepest Descent Approach to the Asymptotics of the Second Painlevé Transcendent in tert problem based on the Deift-Zhou nonlinear steepest descent method. The asymptotics is proved of the Boutroux type, i.e., it is expressed in terms of the elliptic functions. Kapaev-Novokshenov’s explicit connection formulae between the asymptotic phases in the different sectors are obtained as we

CARE

Generalized Umemura Polynomials and the Hirota-Miwa Equation,inlevé . equation. We show that if either ., or .0, or .0, then polynomials . .(.) generate solutions to the Painlevé . equation. We give a new proof of the Noumi-Okada-Okamoto-Umemura conjecture, and describe connections between polynomials . .(., 0). Finally we show that after appropriate resealin

亲密

薄荷醇

大沟

Integrable Boundaries and Universal TBA Functional Equations,odels and the supersymmetric models of conformal field theory and deduce the related TBA functional equations. The derivation uses fusion projectors and applies in the presence of all known integrable boundary conditions on the torus and cylinder. The resulting TBA functional equations are . in the