dc.citation.startPage |
140 |
- |
dc.citation.title |
JOURNAL OF HIGH ENERGY PHYSICS |
- |
dc.citation.volume |
2024 |
- |
dc.contributor.author |
Bao, Jiakang |
- |
dc.contributor.author |
Seong, Rak-Kyeong |
- |
dc.contributor.author |
Yamazaki, Masahito |
- |
dc.date.accessioned |
2024-03-18T09:35:09Z |
- |
dc.date.available |
2024-03-18T09:35:09Z |
- |
dc.date.created |
2024-03-15 |
- |
dc.date.issued |
2024-03 |
- |
dc.description.abstract |
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 Witten index for the supersymmetric quiver quantum mechanics on the worldvolume of the D-branes, and find that BPS degeneracies are described by a statistical mechanical model of crystal melting. For Calabi-Yau threefolds, we reproduce the crystal melting models long known in the literature. For Calabi-Yau fourfolds, however, we find that the crystal does not contain the full information for the BPS degeneracy and we need to explicitly evaluate non-trivial weights assigned to the crystal configurations. Our discussions treat Calabi-Yau threefolds and fourfolds on equal footing, and include discussions on elliptic and rational generalizations of the BPS states counting, connections to the mathematical definition of generalized Donaldson-Thomas invariants, examples of wall crossings, and of trialities in quiver gauge theories. |
- |
dc.identifier.bibliographicCitation |
JOURNAL OF HIGH ENERGY PHYSICS, v.2024, pp.140 |
- |
dc.identifier.doi |
10.1007/JHEP03(2024)140 |
- |
dc.identifier.issn |
1126-6708 |
- |
dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/81663 |
- |
dc.language |
영어 |
- |
dc.publisher |
Springer Verlag |
- |
dc.title |
The Origin of Calabi-Yau Crystals in BPS States Counting |
- |
dc.type |
Article |
- |
dc.description.isOpenAccess |
TRUE |
- |
dc.description.journalRegisteredClass |
scie |
- |
dc.description.journalRegisteredClass |
scopus |
- |