PIRSA:09020022 Scientific Series Quantum Fields and Strings

DOI10.48660/09020022

Series: Quantum Fields and Strings

Yamazaki, M. (2009). Crystal Melting and Toric Calabi-Yau Manifolds. Perimeter Institute. https://pirsa.org/09020022

Yamazaki, Masahito. Crystal Melting and Toric Calabi-Yau Manifolds. Perimeter Institute, Feb. 10, 2009, https://pirsa.org/09020022 

@misc{ pirsa_PIRSA:09020022,
  doi = {10.48660/09020022},
  url = {https://pirsa.org/09020022},
  author = {Yamazaki, Masahito},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Crystal Melting and Toric Calabi-Yau Manifolds},
  publisher = {Perimeter Institute},
  year = {2009},
  month = {feb},
  note = {PIRSA:09020022 see, \url{https://pirsa.org}}
}

Abstract

Motivated by recent mathematical developements in non-commutative Donaldson-Thomas theory, we construct a new statistical mechanicalmodel of crystal melting to count BPS bound states of D0 and D2 branes on a single D6 brane wrapping an arbitrary toric Calabi-Yau threefold. We also discuss the wall crossing phenomena, which are crucial for the proper understanding of the relation between the crystal melting and the topological string theory.

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