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Quantum Stability at One Loop for BPS Membranes in a Lorentz-Covariant RVPD Matrix Model
So Katagiri
https://arxiv.org/abs/2509.23853 https://arxiv.org/pdf…

Quantum Stability at One Loop for BPS Membranes in a Lorentz-Covariant RVPD Matrix Model
We present the first rigorous one-loop demonstration that the Lorentz-covariant M2-brane matrix model with Restricted Volume-Preserving Deformations (RVPD) preserves the quantum stability of its BPS membranes. By exploiting the closure of the restricted kappa-symmetry with RVPD, the BRST complex terminates without higher ghosts and the gauge-fixed measure remains under analytic control. Performing the one-loop expansion around BPS backgrounds, we match bosonic and fermionic spectra, prove tha…