On the Masses of the Universal hypermultiplets in heterotic M-theory

The reduced 5D Heterotic M-theory has a deeply rich structure. For every Calabi-yau compactification, there exists a gravitational hypermultiplet $(g_{\mu \nu },{\psi }_{\mu },A_{\mu })$ and a universal hypermultiplet. In this paper we derive the formulae for the masses of the scalar sector of the universal hypermultiplet $(V,\sigma ,\zeta ,\bar{\zeta })$ in the framework of 5D Heterotic M-theory.