Review Article

BPS States, Crystals, and Matrices

Figure 19

Refined pyramid crystal for the conifold, in the chamber corresponding to 𝑛 stones in the top row. Along each slice (as indicated by broken or solid lines), all stones have the same color, assigned as follows. On the left side (along broken lines), each light (yellow) and dark (red) slice has color denoted 𝑞 0 and 𝑞 1 , respectively. Moving to the right, in the intermediate region (along solid lines), a color of each new light or dark slice is modified by, respectively, 𝑞 𝐵 factor (with respect to the previous light or dark slice). On the right side (again along broken lines), each light or dark slice has again the same color, respectively, 𝑞 0 𝑞 𝐵 𝑛 or 𝑞 1 𝑞 𝐵 ( 𝑛 1 ) . The assignment of colors in the intermediate region (along solid lines) interpolates between constant assignments on the left and right sides of the pyramid.
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