Compactification of Type IIB String Theory on Calabi-Yau Threefolds

Abstract

We study compactifications of type IIB supergravity on Calabi-Yau threefolds. The resulting low energy effective Lagrangian is displayed in the large volume limit and its symmetry properties - with specific emphasis on the SL(2,Z) - are discussed. The explicit map to type IIA string theory compactified on a mirror Calabi-Yau is derived. We argue that strong coupling effects on the worldsheet break the SL(2,Z).

19 pages

References in corpus (24)

• String Theory Dynamics In Various Dimensions
• Unity of Superstring Dualities
• Fivebranes, Membranes and Non-Perturbative String Theory
• Duality in the Type--II Superstring Effective Action
• Exact Results for N=2 Compactifications of Heterotic Strings
• Algebras, BPS States, and Strings
• Mirror Symmetry for Two Parameter Models -- II
• Mirror Symmetry for Two Parameter Models -- I
• Second-Quantized Mirror Symmetry
• R^4 Couplings in M and Type II Theories
• Symmetry structure of special geometries
• Special geometry, cubic polynomials and homogeneous quaternionic spaces
• Summing up D-Instantons
• Compactifications of Type IIB Strings to Four Dimensions with Non-trivial Classical Potential
• D=10, N=IIB Supergravity: Lorentz-invariant actions and duality
• String-String Duality in Ten Dimensions
• Covariant Actions for the Bosonic Sector of D=10 IIB Supergravity
• S Duality and Dyonic p-Brane Solutions in Type II String Theory
• Loop Corrections to the Universal Hypermultiplet
• Superspace Effective Actions for 4D Compactifications of Heterotic and Type II Superstrings
• A Geometric Realization of Confinement
• Instanton Action for Type II Hypermultiplets
• Hidden symmetries, special geometry and quaternionic manifolds
• Conformal Compensators and Manifest Type IIB S-Duality

Cited by in corpus (64)

• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• The effective action of N=1 Calabi-Yau orientifolds
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• Soft Supersymmetry Breaking in Calabi-Yau Orientifolds with D-branes and Fluxes
• Hitchin Functionals in N=2 Supergravity
• Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
• String loop corrected hypermultiplet moduli spaces
• Nonperturbative corrections to 4D string theory effective actions from SL(2,Z) duality and supersymmetry
• Type IIB supergravity compactified on a Calabi-Yau manifold with H-fluxes
• Exploiting N=2 in consistent coset reductions of type IIA
• Non-geometric backgrounds in string theory
• D-instantons and twistors
• The effective action of type II Calabi-Yau orientifolds
• Type IIB Theory on Half-flat Manifolds
• Gauging the Heisenberg algebra of special quaternionic manifolds
• Twistor Approach to String Compactifications: a Review
• Stability and duality in N=2 supergravity
• The Higgs mass from a String-Theoretic Perspective
• Nearly Kaehler Reduction
• D3-instantons, Mock Theta Series and Twistors
• N=2 Supersymmetric Scalar-Tensor Couplings
• Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
• Instantons in the Double-Tensor Multiplet
• Multiple D3-instantons and mock modular forms I
• Quantum mirror symmetry and twistors
• Euclidean D-branes in Type IIB string theory on Calabi-Yau threefolds
• c--Map,very Special Quaternionic Geometry and Dual Kahler Spaces
• Compactification, Geometry and Duality: N=2
• Membrane and fivebrane instantons from quaternionic geometry
• Reducing democratic type II supergravity on SU(3) x SU(3) structures
• Membrane Limits in Quantum Gravity
• S-duality in Twistor Space
• O3/O7 Orientifold Truncations and Very Special Quaternionic-Kaehler Geometry
• Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory
• Multiple D3-instantons and mock modular forms II
• Dualities and fivebrane instantons
• Hypermultiplet metric and D-instantons
• Hyperkahler Cones and Orthogonal Wolf Spaces
• Homogeneous Special Manifolds, Orientifolds and Solvable Coordinates
• The Euler characteristic correction to the Kaehler potential - revisited
• D-branes, Discrete Torsion and the McKay Correspondence
• Type IIB Conifold Transitions in Cosmology
• Conifold singularities, resumming instantons and non-perturbative mirror symmetry
• Rigid limit for hypermultiplets and five-dimensional gauge theories
• Black holes and higher depth mock modular forms
• Time reversal and $\mathbf{CP}$ invariance in Calabi-Yau compactifications
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• Geometric Transitions on non-Kaehler Manifolds
• Arithmetic and Hyperbolic Structures in String Theory
• A Calabi-Yau-to-Curve Correspondence for Feynman Integrals
• Modularity, Quaternion-Kahler spaces and Mirror Symmetry
• Aspects of moduli stabilisation in string and M-theory
• N=2 and N=4 supergravities as compactifications from string theories in 10 dimensions
• Instantons and Wormholes in N=2 supergravity
• From wrapped M-branes to Calabi-Yau black holes and strings
• Recent results in four-dimensional non-perturbative string theory
• Hypermultiplet metric and NS5-instantons
• Quantum Corrections in String Compactifications on SU(3) Structure Geometries
• Type-II Calabi-Yau compactifications, T-duality and special geometry in general spacetime signature
• S-duality and the universal isometries of instanton corrected q-map spaces
• Wrapped brane gas as a candidate for Dark Matter
• Abelian gauge symmetries and fluxed instantons in compactifications of type IIB and F-theory
• Calabi-Yau compactification of type II string theories
• S-duality and the universal isometries of q-map spaces