Gauge origami and quiver W-algebras

T Kimura, G Noshita - Journal of High Energy Physics, 2024 - Springer
A bstract We explore the quantum algebraic formalism of the gauge origami system in ℂ 4,
where D2/D4/D6/D8-branes are present. We demonstrate that the contour integral formulas …

The origin of Calabi-Yau crystals in BPS states counting

J Bao, RK Seong, M Yamazaki - Journal of High Energy Physics, 2024 - Springer
A bstract We study the counting problem of BPS D-branes wrapping holomorphic cycles of a
general toric Calabi-Yau manifold. We evaluate the Jeffrey-Kirwan residues for the flavoured …

4d crystal melting, toric Calabi-Yau 4-folds and brane brick models

S Franco - Journal of High Energy Physics, 2024 - Springer
A bstract We introduce a class of 4-dimensional crystal melting models that count the BPS
bound state of branes on toric Calabi-Yau 4-folds. The crystalline structure is determined by …

Charging solid partitions

D Galakhov, W Li - Journal of High Energy Physics, 2024 - Springer
A bstract Solid partitions are the 4D generalization of the plane partitions in 3D and Young
diagrams in 2D, and they can be visualized as stacking of 4D unit-size boxes in the positive …

Counting surfaces on Calabi-Yau 4-folds II: - correspondence

Y Bae, M Kool, H Park - arXiv preprint arXiv:2402.06526, 2024 - arxiv.org
This is the second part in a series of papers on counting surfaces on Calabi-Yau 4-folds. In
this paper, we introduce $ K $-theoretic $\mathrm {DT},\mathrm {PT} _0,\mathrm {PT} _1 …