The Gaussian-preserving superoperator algebra for n bosonic modes is R^{2n^2+3n} semidirect gl(2n,R), giving an exact Wigner-function solution of quadratic Redfield dynamics and an isomorphism to the 3D N=1 superconformal algebra for a single mode.
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Gaussian Open Quantum Dynamics and Isomorphism to Superconformal Symmetry
The Gaussian-preserving superoperator algebra for n bosonic modes is R^{2n^2+3n} semidirect gl(2n,R), giving an exact Wigner-function solution of quadratic Redfield dynamics and an isomorphism to the 3D N=1 superconformal algebra for a single mode.