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The chiral anomaly in conformal and ordinary simple supergravity in Fujikawa’s approach. (English) Zbl 0627.53068
Quantum field theory and quantum statistics, Essays Hon. 60th Birthday E. S. Fradkin, Vol. 2, 379-390 (1987).
[For the entire collection see Zbl 0624.00021.]
In this contribution we shall re-obtain the chiral anomaly of simple ordinary supergravity by means of Fujikawa’s method [cf. K. Fujikawa, Phys. Rev. Lett. 42, 1195 (1979); Phys. Rev. D 21, 2848-2858 (1980) and ibid. 22, 1499 (1980)] as well as by the Pauli-Villars method. Then we shall obtain the axial anomaly for simple conformal supergravity. We believe this is the first time Fujikawa’s method has been used to obtain a new result.
MSC:
53C80 Applications of global differential geometry to the sciences
83E50 Supergravity