Crystal melting and black holes
Heckman, Jonathan J.
MetadataShow full item record
CitationHeckman, Jonathan J, and Cumrun Vafa. 2007. “Crystal Melting and Black Holes.” Journal of High Energy Physics 2007 (9): 011–011. https://doi.org/10.1088/1126-6708/2007/09/011.
AbstractIt has recently been shown that the statistical mechanics of crystal melting maps to A-model topological string amplitudes on non-compact Calabi-Yau spaces. In this note we establish a one to one correspondence between two and three dimensional crystal melting configurations and certain BPS black holes given by branes wrapping collapsed cycles on the orbifolds C-2/Z(n) and C-3/Z(n) x Z(n) in the large n limit. The ranks of gauge groups in the associated gauged quiver quantum mechanics determine the profiles of crystal melting configurations and the process of melting maps to flop transitions which leave the background Calabi-Yau invariant. We explain the connection between these two realizations of crystal melting and speculate on the underlying physical meaning.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41385020
- FAS Scholarly Articles