Duality covariant variables for STU-model in presence of non-holomorphic corrections

TL;DR

This paper constructs duality covariant moduli fields for the STU-model, incorporating non-holomorphic corrections perturbatively up to second order to maintain duality invariance.

Contribution

It introduces a method to define duality covariant moduli fields that respect special geometry and include non-holomorphic corrections in the STU-model.

Findings

Successfully constructed duality covariant moduli fields up to second order.

Demonstrated the consistency of the approach with duality symmetry.

Provides a framework for incorporating non-holomorphic corrections in moduli space.

Abstract

It is known that non-holomorphic corrections are necessary in order to get duality invariant free energy and entropy function. However the present methods of incorporating non-holomorphic corrections are in conflict with special geometry properties of moduli space. The moduli fields do not transform in duality covariant way and their duality transformation also involves the graviphoton field strength. In the present note we construct duality covariant moduli fields for STU-model perturbatively in powers of the graviphoton field strength and demonstrated their existence upto second order.