In the early 2000s, one often heard that the vacuum counting problem in string theory was like a spin glass problem. My talk will review results of Douglas, Shiffman, and myself on probabilistic methods for counting vacua of certain string theories. I then review some more recent results by various mathematicians on critical points of p-spin Hamiltonians. These results do not seem to be well known to physicists but may have analogs for string theory vacua.
By Nathan Seiberg
By Vijay Balasubramanian
By Steve Zelditch
By Eva Silverstein
By Eliezer Rabinovici
By Alexander Gorsky
By Greg Moore
By Rémi Monasson
By David McAllester
By Luca Mazzucato
By Alexander Belavin
By Washington Taylor
By Erwan Le Pennec
By Gérard Ben Arous
