Motives from Diffraction

2005/11/19 by Jan Stienstra, Stienstra, Jan
Mathematics · Physics and Astronomy · #11G99 #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Number Theory (math.NT) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.math/0511485

openalex publication_date 2005/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We look at geometrical and arithmetical patterns created from a finite subset of Zⁿ by diffracting waves and bipartite graphs. We hope that this can make a link between Motives and the Melting Crystals/Dimer models in String Theory.

Citations

• Quantum Calabi-Yau and Classical Crystals

Related

• Field Theory On The World Sheet: Crystal Formation
• Bipartita: Physics, Geometry & Number Theory
• Dynamical diffraction
• Lecture notes on Geometric Crystals and their combinatorial analogues
• Periodic diffraction from an aperiodic monohedral tiling