The Katanaev–Volovich Casimir is recovered from the gauge-unfixed first-class constraint ideal, and the static torsionful sector satisfies N B = e^{4βr}, yielding a torsion-modified Killing temperature and the standard dilaton entropy.
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Gauge-Unfixed Hamiltonian Casimir and Static Torsionful Sector in the Katanaev-Volovich Model
The Katanaev–Volovich Casimir is recovered from the gauge-unfixed first-class constraint ideal, and the static torsionful sector satisfies N B = e^{4βr}, yielding a torsion-modified Killing temperature and the standard dilaton entropy.