Theory HEP Seminar

Some Applications of Computational Algebraic Geometry to String and Particle Phenomenology

Yang-Hui He

London/Oxford

We present some recent results in obtaining the exact MSSM spectrum as well as reasonable interactions from compactification of heterotic string theory on Calabi-Yau manifolds endowed with vector bundles. We shall emphasize the method of attack, namely sifting through large classes of potentially viable geometries using the state of art developments in algebraic geometry and computer algebra. We will discuss how despite a seeming landscape, models with exact MSSM properties are quite rare.