Classical KMS Functionals and Phase Transitions in Poisson Geometry
Mathematical Physics
2024-06-19 v2 Differential Geometry
math.MP
Symplectic Geometry
Abstract
We study the convex cone of not necessarily smooth measures satisfying the classical KMS condition within the context of Poisson geometry. We discuss the general properties of KMS measures and its relation with the underlying Poisson geometry in analogy to Weinstein's seminal work in the smooth case. Moreover, by generalizing results from the symplectic case, we focus on the case of -Poisson manifolds, where we provide an almost complete characterization of the convex cone of KMS measures.
Keywords
Cite
@article{arxiv.2107.04399,
title = {Classical KMS Functionals and Phase Transitions in Poisson Geometry},
author = {Nicolò Drago and Stefan Waldmann},
journal= {arXiv preprint arXiv:2107.04399},
year = {2024}
}
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47 pages