A. Sevrin et P. Vannieuwenhuizen, QUANTUM GAUGING FROM CLASSICAL GAUGING OF NONLINEAR ALGEBRAS, Physical review. D. Particles and fields, 48(4), 1993, pp. 1768-1773
We extend our previous theory of the gauging of classical quadraticall
y nonlinear algebras without a central charge but with a coset structu
re to the quantum level. Inserting the minimal anomalies into the clas
sical 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 --> infinity limit of the ful
l quantum Ward identities, and reveal that the c --> infinity limit of
the quantum gauge algebra closes on fields and currents. Two examples
are given.