Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

An algebraic geometry perspective on heterotic string phenomenology

QMAP Seminar

Speaker: Vincent Bouchard, Harvard University
Location: 1147 MSB
Start time: Tue, Mar 3 2009, 3:10PM

I will first explain how the challenge of constructing a low energy limit of heterotic string theory reproducing the Minimal Supersymmetric Standard Model of particle physics translates into a well defined mathematical question in algebraic geometry. Namely, the challenge amounts to constructing stable holomorphic vector bundles on Calabi-Yau threefolds satisfying a detailed set of constraints. Then I will prove a no-go theorem about the existence of such "Standard Model bundles" on a Calabi-Yau threefold which possesses an Abelian surface fibration. If time permits, I will also discuss new ideas in heterotic string phenomenology inspired by recent work in F-theory.