Computational Mirror Symmetry

Abstract

Abstract We present an efficient algorithm for computing the prepotential in compactifications of type II string theory on mirror pairs of Calabi-Yau threefolds in toric varieties. Applying this method, we exhibit the first systematic computation of genus-zero Gopakumar-Vafa invariants in compact threefolds with many moduli, including examples with up to 491 vector multiplets.

Keywords

• Differential and Algebraic Geometry
• String Duality
• Superstring Vacua
• Supersymmetric Effective Theories