## 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.

## Details

**Talk Number**PIRSA:09020022

**Speaker Profile**Masahito Yamazaki

**Collection**Quantum Fields and Strings

- Quantum Fields and Strings

**Scientific Area**

- Scientific Series

**Talk Type**