Derivation of Calabi-Yau crystals from Chern-Simons gauge theory

Abstract

We derive new crystal melting models from Chem-Simons theory on the three-sphere. Via large N duality, these models compute amplitudes for A-model on the resolved conifold. The crystal is bounded by two walls whose distance corresponds to the Kähler modulus of the geometry. An interesting phenomenon is found where the Kähler modulus is shifted by the presence of non-compact D-branes. We also discuss the idea of using the crystal models as means of proving more general large N dualities to all order in gs. © SISSA 2005.