Crystal Melting and Toric Calabi-Yau Manifolds


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_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}}

Masahito Yamazaki Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU)


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.