4 papers · 1 filter
Noncompact Iwasawa factorization and translationally equivariant hyperbolic affine spheres
Tadashi Udagawa
We establish the noncompact Iwasawa factorization for a Delaunay-type potential associated with affine spheres on the complex plane away from countably many lines. Using the DPW me…
On tt*-structures from -type Stokes data
Tadashi Udagawa
Cecotti and Vafa introduced the topological anti-topological fusion (tt*)-equation, whose solutions describe massive deformations of supersymmetric conformal field theories. We pro…
Classification of Toda-type tt*-structures and -fixed points
Tadashi Udagawa
We classify Toda-type tt*-structures in terms of the anti-symmetry condition. A Toda-type tt*-structure is a flat bundle whose flatness condition is the tt*-Toda equation (Guest-It…
Globality of the DPW construction for Smyth potentials in the case of SU(1,1)
Tadashi Udagawa
We construct harmonic maps into SU(1,1)/U(1) starting from Smyth potentials ξ, by the DPW method, In this method, harmonic maps are obtained from the Iwasawa factorization of a sol…