Non-Perturbative Vacua and Particle Physics in M-Theory

Abstract

In this letter, we introduce a general theory for the construction of particle physics theories, with three families and realistic gauge groups, within the context of heterotic M-theory. This is achieved using semi-stable holomorphic gauge bundles over elliptically fibered Calabi-Yau three-folds. Construction of realistic theories is facilitated by the appearance of non-perturbative five-branes in the vacuum. The complete moduli space of these five-branes is computed and their worldvolume gauge theory discussed. It is shown, within the context of holomorphic gauge bundles, how grand unified gauge groups can be spontaneously broken to the gauge group of the standard model. These ideas are illustrated in an explicit SU(5) three-family example.

16 pages, Latex 2e with amsmath, some typos corrected

Cited by in corpus (48)

• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Lectures on string/brane cosmology
• Loop-Corrected Compactifications of the Heterotic String with Line Bundles
• A Cosmological Super-Bounce
• A Standard Model from the E8 x E8 Heterotic Superstring
• Heterotic on Half-flat
• The Particle Spectrum of Heterotic Compactifications
• Boundary Inflation
• Superstring Theory and CP- Violating Phases: Can They Be Related?
• Superpotentials for Vector Bundle Moduli
• Vector Bundle Moduli and Small Instanton Transitions
• Merging Heterotic Orbifolds and K3 Compactifications with Line Bundles
• The Spectra of Heterotic Standard Model Vacua
• Instabilities in heterotic M-theory induced by open membrane instantons
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Elliptic Calabi-Yau Threefolds with Z_3 x Z_3 Wilson Lines
• Moduli Dependent Spectra of Heterotic Compactifications
• Gauge-Mediated Supersymmetry Breaking in String Compactifications
• Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
• 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
• Codimension-Three Bundle Singularities in F-Theory
• Stability of the Minimal Heterotic Standard Model Bundle
• Five-Branes in Heterotic Brane-World Theories
• Moduli stabilization in heterotic M-theory
• Local Anomaly Cancellation, M-Theory Orbifolds and Phase-Transitions
• Baryogenesis by Brane-Collision
• Kinky Brane Worlds
• Heterotic String Model Building with Monad Bundles and Reinforcement Learning
• Invariant Homology on Standard Model Manifolds
• Phenomenology of Non-Standard Embedding and Five-branes in M-Theory
• Perturbative Anti-Brane Potentials in Heterotic M-theory
• Flux, Gaugino Condensation and Anti-Branes in Heterotic M-theory
• Supersymmetric Hidden Sectors for Heterotic Standard Models
• Instanton Moduli in String Theory
• Five-brane Instantons vs Flux-induced Gauging of Isometries
• Heterotic Kink Solitons and their Worldvolume Action
• Geometric Unification of Higgs Bundle Vacua
• Phenomenology of heterotic M-theory with five-branes
• Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
• The Dynamics of Small Instanton Phase Transitions
• Moduli restriction and Chiral Matter in Heterotic String Compactifications
• Taming Triangulation Dependence of T6/Z2xZ2 Resolutions
• Knots, Braids and BPS States in M-Theory
• Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM
• Higgs Multiplets in Heterotic GUT Models
• FIMP Dark Matter in Heterotic M-Theory
• Can we distinguish SUSY breaking terms between weakly and strongly coupled heterotic string theories ?