Geometry of Grand Unification

Abstract

Grand Unification of all forces has been a well motivated paradigm for particle physics. This subject has been recently revisited in the context of string theory, leading to a geometric reformulation of the idea of unification of forces. The interplay between geometry and physics has led to a natural resolution to a number of puzzles of particle physics utilizing the geometry of extra dimensions of string theory. Here we review aspects of these developments for a mathematical audience (based on talks given in honor of Yau's 60th, Atiyah's 80th and Singer's 85th birthdays).

References in corpus (2)

• Higgs Bundles and UV Completion in F-Theory
• Yukawa Couplings in F-theory and Non-Commutative Geometry

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• F-theory and the LHC: Stau Search
• Minimum length, extra dimensions, modified gravity and black hole remnants
• Semi-Empirical Flavor Mixing Phenomenology and T2K Theta_13 Data
• Semi-Empirical Neutrino and Quark Mixing Angle Broken 4-Color Geometric Symmetry