The Particle Spectrum of Heterotic Compactifications

Abstract

Techniques are presented for computing the cohomology of stable, holomorphic vector bundles over elliptically fibered Calabi-Yau threefolds. These cohomology groups explicitly determine the spectrum of the low energy, four-dimensional theory. Generic points in vector bundle moduli space manifest an identical spectrum. However, it is shown that on subsets of moduli space of co-dimension one or higher, the spectrum can abruptly jump to many different values. Both analytic and numerical data illustrating this phenomenon are presented. This result opens the possibility of tunneling or phase transitions between different particle spectra in the same heterotic compactification. In the course of this discussion, a classification of SU(5) GUT theories within a specific context is presented.

77 pages, 3 figures

References in corpus (30)

• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Strong Coupling Expansion Of Calabi-Yau Compactification
• Compactifications of F-Theory on Calabi--Yau Threefolds -- I
• The Universe as a Domain Wall
• Vector Bundles And F Theory
• Heterotic M-theory in Five Dimensions
• Vector Bundles over Elliptic Fibrations
• Non-standard embedding and five-branes in heterotic M-Theory
• Holomorphic Vector Bundles and Non-Perturbative Vacua in M-Theory
• Gaugino Condensation in M-theory on S^1/Z_2
• Standard-Model Bundles on Non-Simply Connected Calabi--Yau Threefolds
• Vacuum Stability in Heterotic M-Theory
• Five--Branes and Supersymmetry Breaking in M--Theory
• Superpotentials for Vector Bundle Moduli
• Vector Bundle Moduli and Small Instanton Transitions
• Small Instanton Transitions in Heterotic M-Theory
• Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory
• Non-Perturbative Superpotentials from Membrane Instantons in Heterotic M-Theory
• Moduli Dependent Spectra of Heterotic Compactifications
• Moduli Spaces of Fivebranes on Elliptic Calabi-Yau Threefolds
• Non-Perturbative Vacua and Particle Physics in M-Theory
• Towards the Standard Model spectrum from elliptic Calabi-Yau
• SU(4) Instantons on Calabi-Yau Threefolds with Z_2 x Z_2 Fundamental Group
• Torus-Fibered Calabi-Yau Threefolds with Non-Trivial Fundamental Group
• The Moduli of Reducible Vector Bundles
• Invariant Homology on Standard Model Manifolds
• N=1 Heterotic/F-Theory Duality

Cited by in corpus (87)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• An SU(5) Heterotic Standard Model
• Lectures on F-theory compactifications and model building
• Global F-theory GUTs
• Loop-Corrected Compactifications of the Heterotic String with Line Bundles
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• New Aspects of Heterotic--F Theory Duality
• Codimension-3 Singularities and Yukawa Couplings in F-theory
• Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs
• Exploring Positive Monad Bundles And A New Heterotic Standard Model
• A Standard Model from the E8 x E8 Heterotic Superstring
• Compact F-theory GUTs with U(1)_PQ
• F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds
• Heterotic Compactification, An Algorithmic Approach
• Flavor Structure in F-theory Compactifications
• New Calabi-Yau Manifolds with Small Hodge Numbers
• Massless Spectra of Three Generation U(N) Heterotic String Vacua
• Fibrations in CICY Threefolds
• Right-handed Neutrinos in F-theory Compactifications
• Calabi-Yau Metrics for Quotients and Complete Intersections
• The Spectra of Heterotic Standard Model Vacua
• Yukawa Couplings in Heterotic Standard Models
• The Edge Of Supersymmetry: Stability Walls in Heterotic Theory
• Eigenvalues and Eigenfunctions of the Scalar Laplace Operator on Calabi-Yau Manifolds
• Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines
• Moduli Dependent Spectra of Heterotic Compactifications
• Global SO(10) F-theory GUTs
• The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic Compactifications
• Heterotic Models from Vector Bundles on Toric Calabi-Yau Manifolds
• Geometric constraints in dual F-theory and heterotic string compactifications
• Yukawa Couplings in Heterotic Compactification
• The B-L/Electroweak Hierarchy in Heterotic String and M-Theory
• A Note on G-Fluxes for F-theory Model Building
• Stabilizing Moduli with a Positive Cosmological Constant in Heterotic M-Theory
• Gauge-Mediated Supersymmetry Breaking in String Compactifications
• Raising Anti de Sitter Vacua to de Sitter Vacua in Heterotic M-Theory
• Moduli Stabilisation and Applications in IIB String Theory
• The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
• Higgs Doublets, Split Multiplets and Heterotic SU(3)_C x SU(2)_L x U(1)_Y Spectra
• The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
• Dynamical SUSY Breaking in Heterotic M-Theory
• Three Looks at Instantons in F-theory -- New Insights from Anomaly Inflow, String Junctions and Heterotic Duality
• The B-L/Electroweak Hierarchy in Smooth Heterotic Compactifications
• Non-Abelian Brane Worlds: The Heterotic String Story
• Towards Realizing Dynamical SUSY Breaking in Heterotic Model Building
• Chow groups, Deligne cohomology and massless matter in F-theory
• Stability of the Minimal Heterotic Standard Model Bundle
• Moduli Dependent mu-Terms in a Heterotic Standard Model
• Computational Tools for Cohomology of Toric Varieties
• SU(3) x SU(2) x U(1) Vacua in F-Theory
• Flipped SU(5) GUTs from E_8 Singularities in F-theory
• Heterotic Standard Model Moduli
• Transitions in the Web of Heterotic Vacua
• Five-Brane Dynamics and Inflation in Heterotic M-Theory
• Asymmetric Gepner Models (Revisited)
• Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds
• Heterotic Model Building: 16 Special Manifolds
• Machine Learning and Algebraic Approaches towards Complete Matter Spectra in 4d F-theory
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Perturbative Reheating in Sneutrino-Higgs Cosmology
• General aspects of heterotic string compactifications on stacks and gerbes
• Instanton Moduli in String Theory
• Weak Mixing Angle and Proton Stability in F-theory GUT
• The $R$-parity Violating Decays of Charginos and Neutralinos in the B-L MSSM
• On Global Flipped SU(5) GUTs in F-theory
• Non-vanishing Heterotic Superpotentials on Elliptic Fibrations
• NS5-Branes and Line Bundles in Heterotic/F-Theory Duality
• An Algorithmic Approach to Heterotic String Phenomenology
• Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models
• $R$-parity Violating Decays of Bino Neutralino LSPs at the LHC
• On finiteness of Type IIB compactifications: Magnetized branes on elliptic Calabi-Yau threefolds
• Heterotic Moduli Stabilisation and Non-Supersymmetric Vacua
• Vector-Like Pairs and Brill--Noether Theory
• Extremal Bundles on Calabi-Yau Threefolds
• A Note on Kahler Potential of Charged Matter in F-theory
• Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
• Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds
• Lax pair and Darboux transformation of noncommutative U(N) principal chiral model
• B-L Cosmic Strings in Heterotic Standard Models
• Extending the Geometry of Heterotic Spectral Cover Constructions
• Moduli restriction and Chiral Matter in Heterotic String Compactifications
• Heterotic Vacua from general (non-) Abelian Bundles
• $N=1$ Supergravitational Heterotic Galileons
• Higgs Multiplets in Heterotic GUT Models
• Reducing heterotic M-theory to five dimensional supergravity on a manifold with boundary
• What is the minimal supersymmetric Standard Model from F-theory?
• Yukawa Textures From Singular Spectral Data