Quantum covariant c-map

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.

16 pages; references added; details on evaluation of the tensor lagrangian added

References in corpus (5)

• String loop corrected hypermultiplet moduli spaces
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• Twistors and Black Holes
• Membrane Instantons and de Sitter Vacua
• Membrane and fivebrane instantons from quaternionic geometry

Cited by in corpus (27)

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• Twistor Approach to String Compactifications: a Review
• D-instantons and twistors: some exact results
• D3-instantons, Mock Theta Series and Twistors
• Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
• Linear perturbations of quaternionic metrics
• Multiple D3-instantons and mock modular forms I
• Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
• Quantum mirror symmetry and twistors
• Self-dual Einstein Spaces, Heavenly Metrics and Twistors
• Linear perturbations of Hyperkahler metrics
• S-duality in Twistor Space
• Multiple D3-instantons and mock modular forms II
• On the topology of the hypermultiplet moduli space in type II/CY string vacua
• Dualities and fivebrane instantons
• Hypermultiplet metric and D-instantons
• Rigid limit for hypermultiplets and five-dimensional gauge theories
• Finiteness and the Emergence of Dualities
• Quaternionic Kähler metrics associated to special Kähler manifolds with mutually local variations of BPS structures
• Modularity, Quaternion-Kahler spaces and Mirror Symmetry
• Heterotic-Type II duality in the hypermultiplet sector
• Hypermultiplet metric and NS5-instantons
• Recent results in four-dimensional non-perturbative string theory
• Non-perturbative scalar potential inspired by type IIA strings on rigid CY
• S-duality and the universal isometries of instanton corrected q-map spaces
• Towards the Core of the Quantum Monopole