Abstract
In this paper we study the relation between pyramid partitions with a general empty room configuration (ERC) and the BPS states of D-branes on the resolved conifold. We find that the generating function for pyramid partitions with a length n ERC is exactly the same as the D6/D2/D0 BPS partition function on the resolved conifold in particular Kahler chambers. We define a new type of pyramid partition with a finite ERC that counts the BPS degeneracies in certain other chambers.
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