6 papers
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…
The tt*-structure for the quantum cohomology of complex Grassmannian
Tadashi Udagawa
The tt*-equation (topological-anti-topological fusion equation) was introduced by S. Cecotti and C. Vafa for describing massive deformation of supersymmetric conformal field theori…
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…
Solutions of the tt*-equations constructed from the SU(2)-fusion ring, and Smyth potentials
Tadashi Udagawa
Cecotti and Vafa introduced the tt*-equation (topological-antitopological fusion equation), whose solutions describe massive deformations of supersymmetric conformal field theories…
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…