Crystal Melting and Black Holes
Jonathan J. Heckman, Cumrun Vafa
Abstract
It 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 C2/Zn and C3/Zn x Zn 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.
Create a lesson
Related papers
Topologically induced deformations of differential forms
J. M. Hoff da Silva, J. M. B. Matzenbacher, R. da Rocha
Accretion, mergers, and metastability of fuzzy spheres in a three-matrix model
M. Hrmo, S. Kováčik, K. Magdolenová et al.
Anomaly Matching between Topological Superconductors and N=8 Supergravity
Christopher W. Murphy
Higher anomalies, compressing SPTs and cohomology operations
Shani Nadir Meynet, Elias Riedel Gårding
Exploring thermal order in conformal theories with multiple scalars coupled to an O(N) vector field
Soumyadeep Chaudhuri, Bilal Hawashin, Eliezer Rabinovici et al.
Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity
Jin Dong, Stephan Stieberger