2007/02/15 by Sangmin Lee, Sungjay Lee, Jaemo Park · 34 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Crystal (programming language) #Crystal structure #Field (mathematics) #Meson #Quantum Chromodynamics and Particle Interactions #Spectrum (functional analysis) #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/05/004
published in Journal of High Energy Physics 2007(05), 004 (Springer Nature) · 24 pages, 24 figures
arxiv created 2007/02/15 · openalex publication_date 2007/05/02 · arxiv updated 2010/10/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the recently proposed crystal model for three dimensional superconformal field theories arising from M2-branes probing toric Calabi-Yau four-fold singularities. We explain the algorithms mapping a toric Calabi-Yau to a crystal and vice versa, and show how the spectrum of BPS meson states fits into the crystal model.