Quantum Corrections in String Compactifications on SU(3) Structure Geometries

Abstract

We investigate quantum corrections to the classical four-dimensional low-energy effective action of type II string theory compactified on SU(3) structure geometries. Various methods previously developed for Calabi-Yau compactifications are adopted to determine - under some simple assumptions about the low-energy degrees of freedom - the leading perturbative corrections to the moduli space metrics in both alpha' and the string coupling constant. We find - in complete analogy to the Calabi-Yau case - that the corrections take a universal form dependent only on the Euler characteristic of the six-dimensional compact space.

21 pages, major revision

References in corpus (33)

• Massless Black Holes and Conifolds in String Theory
• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• Generalised Geometry for M-Theory
• Generalized structures of N=1 vacua
• G-Structures and Wrapped NS5-Branes
• One loop in eleven dimensions
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• M-theory, exceptional generalised geometry and superpotentials
• R^4 Couplings in M and Type II Theories
• Hitchin Functionals in N=2 Supergravity
• Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
• Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• From ten to four and back again: how to generalize the geometry
• String loop corrected hypermultiplet moduli spaces
• String loop corrections to the universal hypermultiplet
• Superconformal Hypermultiplets
• What is Special Kähler Geometry ?
• Compactification of Type IIB String Theory on Calabi-Yau Threefolds
• Generalised $G_2$-structures and type IIB superstrings
• Exploiting N=2 in consistent coset reductions of type IIA
• Loop Corrections to the Universal Hypermultiplet
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Type IIB Theory on Half-flat Manifolds
• E7(7) formulation of N=2 backgrounds
• Gauging Isometries on Hyperkahler Cones and Quaternion-Kahler Manifolds
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• N=2 Supersymmetric Scalar-Tensor Couplings
• A Stringy Test of Flux-Induced Isometry Gauging
• Towards reduction of type II theories on SU(3) structure manifolds
• Reducing democratic type II supergravity on SU(3) x SU(3) structures
• Enhanced supersymmetry from vanishing Euler number

Cited by in corpus (6)

• F-theory at order ${\alpha }^{\prime 3}$
• Un-oriented Quiver Theories for Majorana Neutrons
• Constructing stable de Sitter in M-theory from higher curvature corrections
• Moduli identification methods in Type II compactifications
• Non-perturbative scalar potential inspired by type IIA strings on rigid CY
• Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles