Strong Coupling Expansion Of Calabi-Yau Compactification

Abstract

In a certain strong coupling limit, compactification of the $E_8\times E_8$ heterotic string on a Calabi-Yau manifold $X$ can be described by an eleven-dimensional theory compactified on $X\times {\S }^1/{\mathbb{Z}}_2$. In this limit, the usual relations among low energy gauge couplings hold, but the usual (problematic) prediction for Newton's constant does not. In this paper, the equations for unbroken supersymmetry are expanded to the first non-trivial order, near this limit, verifying the consistency of the description and showing how, in some cases, if one tries to make Newton's constant too small, strong coupling develops in one of the two $E_8$'s. The lower bound on Newton's constant (beyond which strong coupling develops) is estimated and is relatively close to the actual value.

32 pp, harvmac. Additional references added

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• Yukawa Textures, Neutrino Masses and Horava-Witten M-Theory
• G_2 Domain Walls in M-theory
• String Universality
• Discovery and Identifictation of Extra Gauge Bosons in e^+e^- -> nu nubar gamma
• Affine extensions of non-crystallographic Coxeter groups induced by projection
• Supersymmetric Hidden Sectors for Heterotic Standard Models
• Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications
• Flat directions, String Compactification and 3 Generation Models
• Advantages of Unity With SU(4)-Color: Reflections Through Neutrino Oscillations, Baryogenesis and Proton Decay
• Dynamical Selection of the Primordial Density Fluctuation Amplitude
• Neutrino Dark Energy and Moduli Stabilization in a BPS Braneworld Scenario
• TeV scale partial mirage unification and neutralino dark matter
• Flux, Gaugino Condensation and Anti-Branes in Heterotic M-theory
• Gravity and Matter in Extra Dimensions
• Weak Mixing Angle and Proton Stability in F-theory GUT
• F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces
• Instanton Moduli in String Theory
• CP Violation and the Scale of Supersymmetry Breaking
• Yukawa Hierarchies From Extra Dimensions With Small FCNC
• Fermion Mass Hierarchy and Electric Dipole Moments
• Phenomenological viability of string and M-theory scenarios
• A new look at anomaly cancellation in heterotic $M$-theory
• Domain walls of N=2 supergravity in five dimensions from hypermultiplet moduli spaces
• Phenomenology of Supersymmetric Gauge-Higgs Unification
• Supergravity and Supersymmetry Breaking in Four and Five Dimensions
• The Interface of Cosmology with String and M(ILLENNIUM) Theory
• Cosmology of Light Moduli
• Braneworld Model of Dark Matter: Structure Formation
• Light Higgsinos as Heralds of Higher-Dimensional Unification
• Supersymmetry Breaking with Zero Vacuum Energy in M-Theory Flux Compactifications
• Gauge Mediation Models with Neutralino Dark Matter
• On the brane coupling of Unified orbifolds with gauge interactions in the bulk
• Soft Terms in M-theory
• Inflationary solutions in the brane-world and their geometrical interpretation
• Stringent Phenomenological Investigation into Heterotic String Optical Unification
• On the strongly coupled heterotic string
• Running Gauge Coupling and Quark-Antiquark Potential in Non-SUSY Gauge Theory at Finite Temperature from IIB SG/CFT correspondence
• Brane Supersymmetry Breaking and the Cosmological Constant: Open Problems
• Equivalent effective Lagrangians for Scherk-Schwarz compactifications
• Superpotentials for M-theory on a G_2 holonomy manifold and Triality symmetry
• The Kahler Cone as Cosmic Censor
• TeV gravity in four dimensions?
• Hubble Law and Brane Matter after Ekpyrosis
• Soft Gluon Resummation Effects in Single Graviton Production at the CERN Large Hadron Collider in the Randall-Sundrum Model
• Sparticle spectrum and dark matter in type I string theory with an intermediate scale
• Cosmological moduli problem in large volume scenario and thermal inflation
• Excision of Singularities by Stringy Domain Walls
• Five Dimensional Cosmology in Horava-Witten M-Theory
• Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction
• Exact Solutions in Five-Dimensional Axi-dilaton Gravity with Euler-Poincare Term
• Brane Mediated Supersymmetry Breaking
• Semi-Simple Unification on T^6/Z_12 Orientifold in the Type IIB Supergravity
• Solar axions in large extra dimensions
• Time-like Extra Dimensions without Tachyons or Ghosts
• Reissner-Nordstrom Black Holes and Thick Domain Walls
• Signature of Large Extra Dimensions from Z boson pair production at the CERN Large Hadron Collider
• Bordism for the 2-group symmetries of the heterotic and CHL strings
• Gravitational field equations in a braneworld with Euler-Poincare term
• Kaluza-Klein States versus Winding States: Can Both Be Above the String Scale?
• Scales of String Theory
• On the spontaneous breaking of Lorentz invariance
• Gauge coupling unification with large extra dimensions
• Supersymmetric Dynamical Generation of the Grand Unification Scale
• Vacuum Brane and the Bulk Dynamics in Dilatonic Brane World
• Five-Dimensional Gauged Supergravity and Supersymmetry Breaking in $M$~Theory
• Gaugino Condensation with a Doubly Suppressed Gravitino Mass
• Five-Brane Thresholds and Membrane Instantons in Four-Dimensional Heterotic M-Theory
• Constraining the Kahler Moduli in the Heterotic Standard Model
• On gauge unification in Type I/I' models
• Gauge coupling and fermion mass relations in low string scale brane models
• Boundary Effects in Super-Yang-Mills Theory
• High scale boundary conditions with an additional complex singlet
• Supergravity Brane Cosmologies
• On Open Membranes, Cosmic Strings and Moduli Stabilization
• D-term Spectroscopy in Realistic Heterotic-String Models
• SUSY's Ladder: Reframing Sequestering at Large Volume
• Recent Developments in Superstring Theory
• Associated production of graviton with $e^{+}{e}^{-}$ pair via photon-photon collisions at a linear collider
• Supersymmetry breaking in M-theory
• Neutral Higgs boson pair production at the LC in the Noncommutative Standard Model
• Dilaton and Moduli Fields in D-term inflation
• Aleph-Null Extended Supergravity and Chern-Simons Theories
• Supergravity Inspired Warped Compactifications and Effective Cosmological Constants
• Gauge Coupling Unification with Extra Dimensions and Correction due to Higher Dimensional Operators
• Five-brane Instantons vs Flux-induced Gauging of Isometries
• Higgs as a Slepton
• Non-perturbative moduli superpotential with positive exponents
• Higher Curvature Quantum Gravity and Large Extra Dimensions
• K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications
• Target-Space Duality in Heterotic and Type I Effective Lagrangians
• CERN Axion Solar Telescope as a probe of large extra dimensions
• A Hybrid Model of Neutrino Masses and Oscillations: Bulk Neutrinos in the Split-Fermion Scenario
• The LHC di-photon excess and Gauge Coupling Unification in Extra $Z^{\prime }$ Heterotic-String Derived Models
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Dilaton Stabilisation in $D$-term Inflation
• Graviton Production By Two Photon and Electron-Photon Processes In Kaluza-Klein Theories With Large Extra Dimensions
• Phenomenology of Twisted Moduli in Type I String Inspired Models
• Kaluza-Klein Excitations and Electroweak Symmetry Breaking
• Qualitative evolution in higher-loop string cosmology
• Soft Masses in Strong Unification
• Same-sign top pair production in an extra-dimension model of flavor at the CERN Large Hadron Collider
• Planck-scale nonthermal correlations in a noncommutative geometry inspired Vaidya black hole
• A Lattice Universe from M-theory
• A Pyramid Scheme for Particle Physics
• Localized Gravity and Large Hierarchy from String Theory ?
• Gauge Five Brane Dynamics And Small Instanton Transitions In Heterotic Models
• Graviton oscillations in the two-brane world
• Field Quantization in 5D Space-Time with Z${}_2$-parity and Position/Momentum Propagator
• Five-Brane Configurations without a Strong Coupling Regime
• The noncommutative QED threshold energy versus the optimum collision energy
• Gravitational conformal invariance and coupling constants in Kaluza-Klein theory
• Breaking Parity Symmetry Using Extra Dimensions
• Thick Domain Walls in AdS Black Hole Spacetimes
• Discovery and Identification of W' Bosons in e gamma to nu q +X
• Novel Domain Wall and Minkowski Vacua of D=9 Maximal SO(2) Gauged Supergravity
• Gauge Fields, Scalars, Warped Geometry, and Strings
• Heterotic Moduli Stabilisation and Non-Supersymmetric Vacua
• The Family Problem: Hints from Heterotic Line Bundle Models
• Phenomenology of heterotic M-theory with five-branes
• String Unification at Intermediate Energies: Phenomenological Viability and Implications
• Large Star/Rose Extra Dimension with Small Leaves/Petals
• Extra dimensions with light and heavy neutral leptons: An application to CE$\nu$NS
• Contact interactions in low scale string models with intersecting $D6$-branes
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Suppressing dimension-5 operators in general SU(5) models
• A Realistic Unified Gauge Coupling from the Micro-Landscape of Orbifold GUTs
• Symmetric Vacua in Heterotic M-Theory
• Structure of stable degeneration of K3 surfaces into pairs of rational elliptic surfaces
• Charge and Color Breaking and D-terms in String Theory
• A comparison of remnants in noncommutative Bardeen black holes
• Aspects of String unification
• Hidden Sector Supergravity Breakdown
• Derivative F-Terms from Heterotic M-Theory Five-brane Instantons
• CP violation including universal one-loop corrections and heterotic M-theory
• Axion clockworks from heterotic M-theory: the QCD-axion and its ultra-light companion
• Heterotic M-Theory from the Clockwork Perspective
• The Supersymmetric Particle Spectrum in Orbifold Compactifications of String Theory
• Moving Five-Branes and Membrane Instantons in Low Energy Heterotic M-Theory
• Brane Dynamics in the Randall-Sundrum model, Inflation and Graceful Exit
• Yukawa couplings in SO(10) heterotic M-theory vacua
• On the Effective N=1 Supergravity of M-Theory
• Local Grand Unification in the Heterotic Landscape
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Yukawa Textures And Horava-Witten M-Theory
• Effect of earth rotation on pair production of Standard Model Higgs bosons at linear colliders in the noncommutative space-time
• Supersymmetry without the Desert
• Scales of Gaugino Condensation and Supersymmetry Breaking in Nonstandard M-Theory Embeddings
• Yukawa Textures in Horava-Witten M-Theory
• B-L Cosmic Strings in Heterotic Standard Models
• Supersymmetry breaking in 5-dimensional space-time with S**1/Z(2) compactification
• Static solutions in the R^4 brane world
• String unification scale and the hyper-charge Kac-Moody level in the non-supersymmetric standard model
• Half-hypermultiplets and incomplete/complete resolutions in F-theory
• Flavour Democracy in Strong Unification
• An explicit example of a moduli driven phase transition in heterotic models
• Anomaly cancellation in M-theory on orbifolds
• Lepton flavor violation from SUSY with non-universal scalars
• Sparticle spectrum in M-theory with five-brane dominance
• Phenomenological viability of orbifold models with three Higgs families
• Laboratory frame analysis of $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ scattering in the Noncommutative Standard Model
• Neutrino Masses: Shedding Light on Unification and Our Origin
• Nucleon decay in gauge unified models with intersecting D6-branes
• Collider Implications of Models with Extra Dimensions
• On the radion mediation of the Supersymmetry breaking in N=2, D=5 Supergravity Orbifolds
• Anomalous U(1) Symmetry and Sparticles
• The Cosmological Constant in Calabi-Yau 3-fold Compactifications of the Horava-Witten Theory
• BPS-like potential for compactifications of heterotic M-theory?
• Vacuum $f(R)$ thick brane solution with a Gaussian warp function
• Five-dimensional Yang-Mills-Einstein supergravity on orbifolds: Parity assignments
• Options for Orbifold-GUT Model Building from Five-Dimensional Supergravity
• Gravitational Forces in the Brane World
• Flavorful hybrid anomaly-gravity mediation
• Stable and Metastable Cosmic Strings in Heterotic M-Theory
• M-Theory on the Orbifold C^2/Z_N
• Solitons in the Horava-Witten supergravity
• On the Bekenstein-Hawking Entropy, Non-Commutative Branes and Logarithmic Corrections
• Low-Scale Anomalous U(1) and Decoupling Solution to Supersymmetric Flavor Problem
• Electroweak symmetry breaking and s-spectrum in M-theory
• Radion stabilization from the vacuum on flat extra dimensions
• Towards supersymmetric cosmology in M theory
• Comments on conformal stability of brane-world models
• One loop effective potential in heterotic M-theory
• Embedding the Pentagon
• Systematics of string loop threshold corrections in orbifold models
• Elliptic Curves, Algebraic Geometry Approach in Gravity Theory and Uniformization of Multivariable Cubic Algebraic Equations
• Extra dimensions prefer large $\tan \beta$
• Cosmic acceleration in models with density dependent moduli
• Status of Superstring and M-Theory
• Gauguin's questions in particle physics: Where are we coming from? What are we? Where are we going?
• String Cosmology: A Review
• Black Holes, Space-Filling Chains and Random Walks
• Six-dimensional origin of gravity mediated brane to brane supersymmetry breaking
• Strings, Black Holes and the Extreme Energy Cosmic Rays
• A dessin on the base: a description of mutually non-local 7-branes without using branch cuts
• Non Linear Breaking of the Electroweak Symmetry and Large Extra Dimensions
• Aspects of Collapsing Cycles
• On possible small-x effects in the Kaluza-Klein graviton and radion production at high energies
• A note on two-loop effects in the DMSSM
• Connecting String/M Theory to the Electroweak Scale and to LHC Data
• Extra-dimensional gravity and dijet production at gamma gamma colliders
• On the origin of matter-antimatter asymmetry in the Universe
• Possible Origin of Fermion Chirality and Gut Structure From Extra Dimensions
• Reducing heterotic M-theory to five dimensional supergravity on a manifold with boundary
• Gauge hierarchy from a topological viewpoint?
• On black holes in heterotic braneworlds
• String Fields and the Standard Model
• TeV String Theories, Mini Black Holes and Trans-GZK Cosmic Rays
• Smooth String Vacua in a Gravitationally Non-perturbative Regime
• The dark dimension, proton decay, and the length of the M-theory interval
• Introduction of the G${}_2$-Ricci Flow: Geometric Implications for Spontaneous Symmetry Breaking and Gauge Boson Masses
• Cosmic Inflation From Fluctuating Baby-Skyrme Brane
• Resolving the singularity of the Hawking-Turok type instanton
• Cosmological SUSY Breaking and the Pyramid Schemes
• Calculation of Fayet-Iliopoulos D-term in type I string theory revisited: T^6/Z_3 orbifold case
• Scale, Gauge Couplings, Soft Terms and Toy Compactification in M-theory on $S^1/Z_2$
• Dark Energy in Global Brane Universe
• On Geometrical Interpretation of Non-Abelian Flat Direction Constraints
• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• Twisted Boundary Conditions and Matching to the Effective Four Dimensional Theory
• Gravity and Large Extra Dimensions
• The soft supersymmetry breaking in D=5 supergravity compactified on S_1/Z_2 orbifolds
• String Theory, Large Dimensions and Supersymmetry
• Non-commutative Unification in Brane World
• $5D$ Solutions to $\Lambda$CDM Universe Derived from Global Brane Model
• A Remark on Brane Stabilization in Brane World
• Extended Objects from Warped Compactifications of M Theory
• Using Energy Conditions to Distinguish Brane Models and Study Brane Matter
• Flipped $SU(5)$ GUT with conformal gravity from a single supermultiplet
• Unifying gauge couplings at the string scale
• Could we observe the discreteness of Quantum-Gravity length and area operators ?
• The Effect of 4D Effective Cosmological Constant On The Stability of Randall-Sundrum Scenario
• Gravity In A Model Of Multi Branes Alternated Between Minkowski And AdS Spacetime In The Fifth Dimension
• Aspects of N=1 String Dynamics
• A non-standard matter distribution in the RS1 model and the coupling constant of the radion
• Charged Higgs Production at Linear Colliders in Large Extra Dimensions
• D-Term Inflation: The Good, the Bad and the Ugly
• Effective Supergravity from the Weakly Coupled Heterotic String
• Recent Progress in Weakly-Coupled Heterotic String Phenomenology
• Can we distinguish SUSY breaking terms between weakly and strongly coupled heterotic string theories ?
• Properties of generalized Schwarzschild spacetimes with extra dimensions