Department of Physics and Astronomy

Seminar: Algebraic structure of tt* equations, modularity and topological strings

  • Date: 12/12/2017 at 1:45 PM 3:00 PM
  • Lecturer: Murad Alim (Hamburg)
  • Contact person: Fabrizio Nieri
  • Seminarium

The tt* equations put forward by Cecotti and Vafa are attached to moduli spaces of N=2 theories in 2 dimensions. When these theories are realized as sigma models into a target manifold X, the tt* equations give the moduli space of X the structure of a special Kähler manifold and generalizations thereof. In this talk, I will discuss an algebraic reformulation of the tt* equations, which is intimately connected to modular forms and their generalizations. For Calabi-Yau threefolds, this algebraic structure of tt* equations provides an algebraic formulation of topological string theory.