Derivation of Calabi-Yau Crystals from Chern-Simons Gauge Theory

Details Derivation of Calabi-Yau Crystals from Chern-Simons Gauge Theory Derivation of Calabi-Yau Crystals from Chern-Simons Gauge Theory

2004-09-26

arxiv.org/abs/hep-th/0409270v3

JHEP0503:047,2005

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 5 figures; v.2 typos corrected, references added; v.3 minor typos corrected, a confusing expression modified

Scientific paper

10.1088/1126-6708/2005/03/047

We derive new crystal melting models from Chern-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 Kahler modulus of the geometry. An interesting phenomenon is found where the Kahler 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 $g_s$.

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