Quantum covariant c-map

TL;DR

This paper extends the covariant c-map to include quantum corrections and explicitly derives the corrected metric on the hypermultiplet moduli space, simplifying previous complex expressions.

Contribution

It introduces a quantum-corrected covariant c-map and explicitly performs the superconformal quotient to obtain a simplified moduli space metric.

Findings

Derived a perturbatively corrected metric on the moduli space

Simplified the expression for the quantum-corrected metric

Performed explicit superconformal quotient from hyperkahler cone

Abstract

We generalize the covariant c-map found in hep-th/0701214 including perturbative quantum corrections. We also perform explicitly the superconformal quotient from the hyperkahler cone obtained by the quantum c-map to the quaternion-Kahler space, which is the moduli space of hypermultiplets. As a result, the perturbatively corrected metric on the moduli space is found in a simplified form comparing to the expression known in the literature.