(0,2) Heterotic Gauge Couplings and their M-Theory Origin

Abstract

We work out the relation between automorphic forms on SO(s+2,2) and gauge one-loop corrections of heterotic K3 x T^2 string compactifications for the cases s=0,1. We find that one-loop gauge corrections of any orbifold limit of K3 can always be expressed by their instanton numbers and generic automorphic forms.These functions classify also one-loop gauge thresholds of N=1 (0,2) heterotic compactifications based on toroidal orbifolds T^6/Z_N. We compare these results with the gauge couplings of M-theory compactified on S^1/Z_2 x T^6/Z_N using Witten's Calabi-Yau strong coupling expansion.

40 pages; Added N=1 models with vanishing perturbative corrections to the gauge kinetic function, i.e. epsilon=0

References in corpus (2)

• Gaugino Condensation in M-theory on S^1/Z_2
• The heterotic prepotential from eleven dimensions

Cited by in corpus (80)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Completing Natural Inflation
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Supersymmetric Standard Model from the Heterotic String
• Loop Corrections to Volume Moduli and Inflation in String Theory
• The Heterotic Road to the MSSM with R parity
• Loop-Corrected Compactifications of the Heterotic String with Line Bundles
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• String or M theory axion as a quintessence
• Phenomenology of Low Quantum Gravity Scale Models
• Supersymmetric Standard Model from the Heterotic String (II)
• Non-standard embedding and five-branes in heterotic M-Theory
• Gauge couplings in four-dimensional Type I string orbifolds
• Theory and Phenomenology of Type I strings and M-theory
• Gauge Threshold Corrections in Intersecting Brane World Models
• F-theory Flux, Destabilization of Orientifolds and Soft Terms on D7--Branes
• Supersymmetric (non-)Abelian Bundles in the Type I and SO(32) Heterotic String
• Non-Abelian Born-Infeld Action and Type I - Heterotic Duality (II): Nonrenormalization Theorems
• Automorphic Forms and Fermion Masses
• From strings to the MSSM
• Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles
• Instabilities in heterotic M-theory induced by open membrane instantons
• Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
• CP Symmetry and Symplectic Modular Invariance
• Towards Low Energy Physics from the Heterotic String
• Divergences in Kaluza-Klein Models and their String Regularization
• Small Instantons and Weak Scale String Theory
• Rankin-Selberg methods for closed strings on orbifolds
• On the Duality between Perturbative Heterotic Orbifolds and M-Theory on T^4/Z_N
• GUT Relations from String Theory Compactifications
• Proton Hexality in Local Grand Unification
• Mathieu Moonshine and N=2 String Compactifications
• Compact Dimensions and their Radiative Mixing
• Brane-Worlds Pseudo-Goldstinos
• One-loop Regularization of Supergravity II: The Dilaton and the Superfield Formulation
• Regularisation Techniques for the Radiative Corrections of Wilson lines and Kaluza-Klein states
• Wilson lines corrections to gauge couplings from a field theory approach
• Phenomenology of Non-Standard Embedding and Five-branes in M-Theory
• Standard Models from Heterotic M-theory
• Supergravity and Supersymmetry Breaking in Four and Five Dimensions
• Heterotic M-Theory Vacua with Five-Branes
• D-instanton and polyinstanton effects from type I' D0-brane loops
• Topological Amplitudes in Heterotic Strings with Wilson Lines
• BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form
• Heterotic string on the CHL orbifold of K3
• Borcherds Algebras and N=4 Topological Amplitudes
• M-theory dark matter
• Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms
• Mathieu moonshine in four dimensional $\mathcal{N}=1$ theories
• Target-Space Duality in Heterotic and Type I Effective Lagrangians
• $\mathcal{N}=2$ heterotic string compactifications on orbifolds of $K3\times T^2$
• Modular Forms as Classification Invariants of 4D N=2 Heterotic--IIA Dual Vacua
• Enhanced Gauge Groups in N=4 Topological Amplitudes and Lorentzian Borcherds Algebras
• N=1 Supersymmetric Vacua in Heterotic M-Theory
• On Gauge couplings, "Large" extra-dimensions and the limit alpha'->0 of the String
• Flat equivariant gerbes: holonomies and dualities
• New supersymmetric index of heterotic compactifications with torsion
• Hidden Sector Supergravity Breakdown
• Threshold corrections in heterotic flux compactifications
• On Fractional Instanton Numbers in Six Dimensional Heterotic E8 x E8 Orbifolds
• CP violation including universal one-loop corrections and heterotic M-theory
• Gravitational couplings in $\mathcal{N}=2$ string compactifications and Mathieu Moonshine
• Heterotic M-Theory from the Clockwork Perspective
• Symmetric Vacua in Heterotic M-Theory
• Witten Anomaly in 4d Heterotic Compactificaitons with N = 2 Supersymmetry
• Axion clockworks from heterotic M-theory: the QCD-axion and its ultra-light companion
• The Anomaly Structure of Regularized Supergravity
• Scales of Gaugino Condensation and Supersymmetry Breaking in Nonstandard M-Theory Embeddings
• On Mathieu moonshine and Gromov-Witten invariants
• Jacobi Forms of Higher Index and Paramodular Groups in N=2, D=4 Compactifications of String Theory
• On Fractional Instanton Numbers in Six Dimensional Heterotic E_8 x E_8 Orbifolds
• Electroweak symmetry breaking and s-spectrum in M-theory
• Heterotic strings on $(K3\times T^2)/{\mathbb{Z}}_3$ and their dual Calabi-Yau threefolds
• Gravitational couplings in $\mathcal{N}=2$ heterotic compactifications with Wilson lines
• 1/4 BPS States and Non-Perturbative Couplings in N=4 String Theories
• GUT Scale Unification in Heterotic Strings
• A simple method to extract the zeros of some Eisenstein series of level $N$
• String corrections to gauge couplings from a field theory approach
• Direct Computation of Monodromy Matrices and Classification of 4d N=2 Heterotic--IIA Dual Vacua
• Generation flow in field theory and strings