BPS States, Crystals, and Matrices

<table>Factorization of <svg height="14.2" id="M722" 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">
<g transform="matrix(1.25,0,0,-1.25,0,14.2)">
<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>
</g>
</g>
</svg> crystal which leads to open BPS generating functions. The size <svg height="10.7375" id="M723" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
<g transform="translate(72,-63.41)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
</text>
</g>
</g>
</svg> encodes the open BPS chamber.</table>

Advances in High Energy Physics

BPS States, Crystals, and Matrices

Figure 16