Moduli Dependent Non-Holomorphic Contributions of Massive States to Gravitational Couplings and $C^2$-Terms in $Z_N$-Orbifold Compactifications

Abstract

It is pointed out that massive states in D=4, N=1 supergravity-matter theories can, in general, at the 1-loop level contribute non-holomorphic terms to quadratic gravitational couplings. It is then shown in the context of $(2,2)$-symmetric $Z_N$-orbifold theories that, for constant moduli backgrounds, the inclusion of such contributions can result in the cancellation of naked $C^2$-terms. ${\mathcal{R}}^2$-terms can also arise but, being ghost free, need not cancel.

38 pages, HUB-IEP-94/20, UPR-634T (references added)

References in corpus (8)

• Duality Anomaly Cancellation, Minimal String Unification and the Effective Low-Energy Lagrangian of 4-D Strings
• Moduli Corrections to Gauge and Gravitational Couplings in four dimensional Superstrings
• Anomaly Cancellation in Six Dimensions
• Threshold Corrections to Gauge Couplings in Orbifold Compactifications
• Coordinate and Kähler $\sigma$-Model Anomalies and Their Cancellation in String Effective Field Theories
• Dilaton, Antisymmetric Tensor and Gauge Fields in String Effective Theories at the One--loop Level
• String Loop Threshold Corrections \break For ${\mathbf{Z}}_N$ Coxeter Orbifolds
• Duality Symmetries in Orbifold Models

Cited by in corpus (9)

• Supergravity couplings: a geometric formulation
• Fivebrane Instantons and $R^2$ couplings in $N=4$ String Theory
• Universality properties of N=2 and N=1 Heterotic threshold corrections
• Loop corrections and graceful exit in string cosmology
• Exact Gravitational Threshold Correction in the FHSV Model
• Higher-Derivative Gravity in String Theory
• The superspace geometry of gravitational Chern-Simons forms and their couplings to linear multiplets : a review
• Recent Muon g-2 Result in Deflected Anomaly-Mediated Supersymmetry Breaking
• Systematics of string loop threshold corrections in orbifold models