BPS States, Crystals, and Matrices

<table>Toric graphs for <svg height="14.2" id="M216" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 17.237499 14.2" width="17.237499" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-60.64)">
<text transform="matrix(1,0,0,-1,-71.95,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℂ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.14,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
</text>
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</svg>, conifold and resolution of <svg height="17.887501" id="M217" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 39.037498 17.887501" width="39.037498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,17.8875)">
<g transform="translate(72,-57.69)">
<text transform="matrix(1,0,0,-1,-71.95,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℂ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.14,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
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<text transform="matrix(1,0,0,-1,-58.26,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">ℤ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-45.7,57.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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</svg>.</table>

Advances in High Energy Physics

BPS States, Crystals, and Matrices

Figure 4