Gravitational Threshold Corrections in Non-Supersymmetric Heterotic Strings

Abstract

We compute one-loop quantum corrections to gravitational couplings in the effective action of four-dimensional heterotic strings where supersymmetry is spontaneously broken by Scherk-Schwarz fluxes. We show that in both heterotic and type II theories of this class, no moduli dependent corrections to the Planck mass are generated. We explicitly compute the one-loop corrections to the ${\mathcal{R}}^2$ coupling and find that, despite the absence of supersymmetry, its contributions may still be organised into representations of subgroups of the modular group, and admit a universal form, determined uniquely by the multiplicities of the ground states of the theory. Moreover, similarly to the case of gauge couplings, also the gravitational sector may become strongly coupled in models which dynamically induce large volume for the extra dimensions.

arXiv comment29 pages

References in corpus (48)

• A One-Loop Test Of String Duality
• Moduli Corrections to Gauge and Gravitational Couplings in four dimensional Superstrings
• Infrared Regularization of Superstring Theory and the One-Loop Calculation of Coupling Constants
• Moduli Corrections to Gravitational Couplings from String loops
• Towards a Non-Supersymmetric String Phenomenology
• Vacuum Energy Cancellation in a Non-supersymmetric String
• Strong/Weak Coupling Duality Relations for Non-Supersymmetric String Theories
• Modular Invariance, Finiteness, and Misaligned Supersymmetry: New Constraints on the Numbers of Physical String States
• Fivebrane Instantons and $R^2$ couplings in $N=4$ String Theory
• R^2 Corrections and Non-perturbative Dualities of N=4 String ground states
• Duality without Supersymmetry: The Case of the SO(16)xSO(16) String
• Gauge Coupling Unification in Realistic Free-Fermionic String Models
• String Duality and Non-supersymmetric Strings
• Non-Supersymmetric Type I Strings with Zero Vacuum Energy
• Non-supersymmetric heterotic model building
• Non-perturbative Temperature Instabilities in N=4 Strings
• Solving the Decompactification Problem in String Theory
• Chiral Heterotic Strings with Positive Cosmological Constant
• Super no-scale models in string theory
• One-Loop BPS amplitudes as BPS-state sums
• Bose-Fermi Degeneracy and Duality in Non-Supersymmetric Strings
• Spin-field Interaction Effects and Loop Dynamics in AdS/CFT Duality
• On Vanishing Two Loop Cosmological Constants in Nonsupersymmetric Strings
• Universality of Gauge Thresholds in Non-Supersymmetric Heterotic Vacua
• Non-Tachyonic Semi-Realistic Non-Supersymmetric Heterotic String Vacua
• Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes
• An Alternative for Moduli Stabilisation
• Higher-Derivative Gravity in String Theory
• Non-singular string cosmology in a 2d Hybrid model
• Marginal Deformations of Vacua with Massive boson-fermion Degeneracy Symmetry
• Large volume susy breaking with a solution to the decompactification problem
• Divergences in Kaluza-Klein Models and their String Regularization
• Non-Supersymmetric Orbifolds
• Interpolations Among NAHE-based Supersymmetric and Nonsupersymmetric String Vacua
• Orbifold Symmetry Reductions of Massive Boson-Fermion Degeneracy
• (MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories
• On the Low Energy Spectra of the Nonsupersymmetric Heterotic String Theories
• Rankin-Selberg methods for closed strings on orbifolds
• Generalised universality of gauge thresholds in heterotic vacua with and without supersymmetry
• Non-supersymmetric Tachyon-free Type-II and Type-I Closed Strings from RCFT
• Threshold corrections, generalised prepotentials and Eichler integrals
• Non-supersymmetric Orientifolds of Gepner Models
• A Dynamical Mechanism for Large Volumes with Consistent Couplings
• Universality of radiative corrections to gauge couplings for strings with spontaneously broken supersymmetry
• Asymmetric Orbifold Models of Non-supersymmetric Heterotic Strings
• Heterotic Moduli Stabilisation and Non-Supersymmetric Vacua
• Renormalization of the Planck mass for type II superstrings on symmetric orbifolds
• Threshold corrections in heterotic flux compactifications

Cited by in corpus (7)

• Gauss-Bonnet Chern-Simons gravitational wave leptogenesis
• Classification of Standard-like Heterotic-String Vacua
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• On interpolations from SUSY to non-SUSY strings and their properties
• Classification of Left-Right Symmetric Heterotic String Vacua
• A Solution to the Decompactification Problem in Chiral Heterotic Strings
• GUT Scale Unification in Heterotic Strings