Quantum gauging from classical gauging of nonlinear algebras.

We extend our previous theory of the gauging of classical quadratically nonlinear algebras without a central charge but with a coset structure, to the quantum level. Inserting the minimal anomalies into the classical transformation rules of the currents introduces further quantum corrections to the classical transformation rules of the gauge fields and currents which additively renormalize the structure constants. The corresponding Ward identities are the c → ∞ limit of the full quantum Ward identities, and reveal that the c → ∞ limit of the quantum gauge algebra closes on fields and currents. Two examples are given. Theoretical Physics Group, Lawrence Berkeley Laboratory, 1 Cyclotron Rd, and Department of Physics, University of California at Berkeley, Berkeley, CA 94720, USA Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, NY 117943840, USA