On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential

Abstract

To compute the string one-loop correction to the Kahler potential of moduli fields of string compactifications in Einstein-frame, one must compute: the string one-loop correction to the Einstein-Hilbert action, the string one-loop correction to the moduli kinetic terms, the string one-loop correction to the definition of the holomorphic coordinates. In this note, we compute the string one-loop correction to the Einstein-Hilbert action of type II string theory compactified on orientifolds of Calabi-Yau threefolds. We find that the one-loop correction is determined by the new supersymmetric index studied by Cecotti, Fendley, Intriligator, and Vafa. As a simple application, we apply our results to estimate the size of the one-loop corrections around a conifold point in the Kahler moduli space.

arXiv commentv2: minor errors fixed. v3: additional check provided by comparing to the known R^4 term. v5: normalization of PCO fixed. v6: matches JHEP version. Discussions expanded. v7: minor errors fixed

References in corpus (48)

• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• CFT's From Calabi-Yau Four-folds
• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Non-Perturbative Superpotentials In String Theory
• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• Holomorphic Anomalies in Topological Field Theories
• Brane/Flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory
• One loop in eleven dimensions
• A New Supersymmetric Index
• String Loop Corrections to Kahler Potentials in Orientifolds
• R^4 Couplings in M and Type II Theories
• Loop Corrections to Volume Moduli and Inflation in String Theory
• On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
• D-instantons, Strings and M-theory
• Moduli Corrections to Gauge and Gravitational Couplings in four dimensional Superstrings
• On Gauge Couplings in String Theory
• Jumping Through Loops: On Soft Terms from Large Volume Compactifications
• Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications
• Moduli Corrections to Gravitational Couplings from String loops
• Infrared Regularization of Superstring Theory and the One-Loop Calculation of Coupling Constants
• Gauge couplings in four-dimensional Type I string orbifolds
• Vacua with Small Flux Superpotential
• Uplifting Runaways
• Non-compact Calabi--Yau Manifolds and Localized Gravity
• Orientifolds and Mirror Symmetry
• Control issues of KKLT
• Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String
• Conifold Vacua with Small Flux Superpotential
• Gauge Threshold Corrections for Local String Models
• Open string topological amplitudes and gaugino masses
• Towards the One-loop Kahler Metric of Calabi-Yau Orientifolds
• Moduli Stabilization in Asymptotic Flux Compactifications
• Small Flux Superpotentials for Type IIB Flux Vacua Close to a Conifold
• Loops, Local Corrections and Warping in the LVS and other Type IIB Models
• The Boundaries of KKLT
• Effective Theory of Warped Compactifications and the Implications for KKLT
• Induced Gravity on Intersecting Branes
• One-loop Einstein-Hilbert term in minimally supersymmetric type IIB orientifolds
• Resolving spacetime singularities in flux compactifications & KKLT
• Curvature corrections to KPV: Do we need deep throats?
• Field redefinitions and Kähler potential in string theory at 1-loop
• One-Loop Kahler Metric of D-Branes at Angles
• On the Search for Low $W_0$
• D-instanton, threshold corrections, and topological string
• Systematics of perturbatively flat flux vacua for CICYs