Frobenius manifolds, projective special geometry and Hitchin systems

TL;DR

This paper explores the construction of Frobenius manifolds linked to projective special geometry, establishing their canonical nature, and applies these findings to Hitchin integrable systems.

Contribution

It introduces a canonical construction of Frobenius manifolds from projective special geometry and connects this to Hitchin systems.

Findings

The underlying F-manifold is shown to be canonical.

The construction's dependence on choices is analyzed.

Application to Hitchin systems demonstrates practical relevance.

Abstract

We consider the construction of Frobenius manifolds associated to projective special geometry and analyse the dependence on choices involved. In particular, we prove that the underlying F-manifold is canonical. We then apply this construction to integrable systems of Hitchin type.