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arXiv · 1304.6724

Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities

Takahiro Nishinaka·Satoshi Yamaguchi·Yutaka Yoshida
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Abstract

We construct a two-dimensional crystal melting model which reproduces the BPS index of D2-D0 states bound to a non-compact D4-brane on an arbitrary toric Calabi-Yau singularity. The crystalline structure depends on the toric divisor wrapped by the D4-brane. The molten crystals are in one-to-one correspondence with the torus fixed points of the moduli space of the quiver gauge theory on D-branes. The F- and D-term constraints of the gauge theory are regarded as a generalization of the ADHM constraints on instantons. We also show in several examples that our model is consistent with the wall-crossing formula for the BPS index.

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Takahiro Nishinaka, Satoshi Yamaguchi, Yutaka Yoshida. 2013-04-24. Two-dimensional crystal melting and D4-D2-D0 on toric Calabi-Yau singularities. https://doi.org/10.1007/jhep05(2014)139

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