Brane Curvature Corrections to the $\mathcal{N}=1$ Type II/F-theory Effective Action

Abstract

We initiate a study of corrections to the Kähler potential of $\mathcal{N}=1$ type II/F-theory compactifications that arise from curvature terms in the action of D-branes and orientifold planes. We first show that a recently proposed correction to the Kähler coordinates, which was argued to appear at order ${\alpha }^{\prime 2}{g}_s$ and be proportional to the intersection volume of D7-branes and O7-planes, is an artifact of an inconvenient field basis in the dual M-theory frame and can be removed by a field redefinition of the 11D metric. We then analyze to what extent curvature terms in the DBI and WZ action may still lead to corrections of a similar kind and identify two general mechanisms that can potentially modify the volume dependence of the Kähler potential in the presence of D-branes and O-planes. The first mechanism is related to an induced Einstein-Hilbert term on warped brane worldvolumes, which leads to a shift in the classical volume of the compactification manifold. The resulting corrections are generic and can appear at one-loop order on branes and O-planes of various dimensions and for configurations with or without intersections. We discuss in detail the example of intersecting D7-branes/O7-planes, where a correction can appear already at order ${\alpha }^{\prime 2}{g}_s^2$ in the Kähler potential. Due to an extended no-scale structure, however, it is then still subleading in the scalar potential. We also discuss a second mechanism, which is due to an induced D3-brane charge in the WZ action of D7-branes. Contrary to the first type of corrections, it appears at open string tree-level and shifts the definition of the Kähler coordinates in terms of the classical volume but leaves the volume itself uncorrected. Our work has implications for moduli stabilization and model building and suggests interesting generalizations to F-theory.

arXiv comment34 pages. v3: additional comments, version to appear in JHEP

References in corpus (77)

• de Sitter Vacua in String Theory
• Dirichlet-Branes and Ramond-Ramond Charges
• Hierarchies from Fluxes in String Compactifications
• Dielectric-Branes
• Towards Inflation in String Theory
• M-Theory on Eight-Manifolds
• D-Branes and Topological Field Theories
• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• I-Brane Inflow and Anomalous Couplings on D-Branes
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• The effective action of N=1 Calabi-Yau orientifolds
• Type IIA Moduli Stabilization
• The effective action of Type IIA Calabi-Yau orientifolds
• Scales and hierarchies in warped compactifications and brane worlds
• A One-Loop Test Of String Duality
• N=1 effective potential from dual type-IIA D6/O6 orientifolds with general fluxes
• N=3 Warped Compactifications
• On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes
• Calabi-Yau fourfolds for M- and F-Theory compactifications
• Superstring Scattering from D-Branes
• Dynamics of warped compactifications and the shape of the warped landscape
• The effective action of D7-branes in N=1 Calabi-Yau orientifolds
• Loop Corrections to Volume Moduli and Inflation in String Theory
• Lectures on F-theory compactifications and model building
• Soft Supersymmetry Breaking in Calabi-Yau Orientifolds with D-branes and Fluxes
• A field-theory motivated approach to symbolic computer algebra
• Flux-induced SUSY-breaking soft terms
• Flux-induced SUSY-breaking soft terms on D7-D3 brane systems
• Flux-induced Soft Supersymmetry Breaking in Chiral Type IIB Orientifolds with D3/D7-Branes
• D-brane Deconstructions in IIB Orientifolds
• Orientifold Limit of F-theory Vacua
• de Sitter String Vacua from Kahler Uplifting
• Warped Compactifications in M and F Theory
• Simple de Sitter Solutions
• On Volume Stabilization by Quantum Corrections
• M-theory compactified on Calabi-Yau fourfolds with background flux
• Towards Classical de Sitter Solutions in String Theory
• The N=1 effective action of F-theory compactifications
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• D-terms and F-terms from D7-brane fluxes
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• De Sitter hunting in a classical landscape
• Dynamics of Warped Flux Compactifications
• Gravitational Couplings and $Z_2$ Orientifolds
• Higher-derivative couplings in string theory: dualities and the B-field
• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• Derivative corrections to D-brane actions with constant background fields
• A sufficient condition for de Sitter vacua in type IIB string theory
• Minimal Simple de Sitter Solutions
• Kinetic terms in warped compactifications
• The D5-brane effective action and superpotential in N=1 compactifications
• Constraints on String Cosmology
• On moduli and effective theory of N=1 warped flux compactifications
• Anomalies and inflow on D-branes and O-planes
• D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak Coupling Limit
• Warping and Supersymmetry Breaking
• Compactification on negatively curved manifolds
• On Cosmological Constants from alpha'-Corrections
• Derivative corrections to the D-brane Born-Infeld action: non-geodesic embeddings and the Seiberg-Witten map
• Higher-Derivative Gravity in String Theory
• On field redefinitions and exact solutions in string theory
• On effective actions of BPS branes and their higher derivative corrections
• The effective action of D-branes in Calabi-Yau orientifold compactifications
• More on closed string induced higher derivative interactions on D-branes
• S-duality Improved Superstring Perturbation Theory
• S-duality of D-brane action at order $O({\alpha }^{\prime 2})$
• Chiral matter wavefunctions in warped compactifications
• Fluxes and Warping for Gauge Couplings in F-theory
• Towards extending the Chern-Simons couplings at order $O({\alpha }^{\prime 2})$
• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• T-duality of anomalous Chern-Simons couplings
• Anomaly Inflow on Orientifold Planes
• On gravitational couplings in D-brane action
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
• S-matrix elements from T-duality
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• On Curvature-Squared Corrections for D-brane Actions

Cited by in corpus (6)

• Tuning and Backreaction in F-term Axion Monodromy Inflation
• F-theory at order ${\alpha }^{\prime 3}$
• Warping the Kähler potential of F-theory/IIB flux compactifications
• On M-theory fourfold vacua with higher curvature terms
• Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane
• Higher-Derivative Supergravity and Moduli Stabilization