Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics

Denjoe O'Connor, Sanjaye Ramgoolam

We consider the $SO(d)$ and $O(d)$ invariant sectors of the bosonic $d$-matrix harmonic oscillator with $U(N)$ gauge symmetry. The micro-canonical degeneracy $\mathcal{Z}( N , d ,…