Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500032 | Journal of Geometry and Physics | 2017 | 8 Pages |
Abstract
In this paper we provide a link between tt*-bundles, which are solutions of a general version of the equations of topological-antitopological fusion considered by Cecotti-Vafa, Dubrovin and Hertling and isoparametric spherical surfaces, i.e. spherical surfaces with constant principal curvatures. More precisely, we construct a tt*-bundle from a pluriharmonic map into the hermitian symmetric space SO(l+2)/SO(2)ÃSO(l) which can be seen as the Grassmannian Gr(2,n+2) of oriented two-planes in Rn+2. Applying the above construction to the Gauss map of an isoparametric spherical surface we associate to a given isoparametric spherical surface a new solution to the ttâ-equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Lars Schäfer,