For the n-vector model with fixed k and n tending to infinity, the limiting free energy and correlation matrix equal the value and maximizer of a log-det regularized SDP.
Boumal, Nonconvex phase synchronization , SIAM Journal on Optimization, 26 (2016), pp
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On a spherically lifted spin model at finite temperature
For the n-vector model with fixed k and n tending to infinity, the limiting free energy and correlation matrix equal the value and maximizer of a log-det regularized SDP.