Path-integral quantization of $W_{\infty }$ gravity

Abstract

We consider the anomalies of $W_{\infty }$ gravity in the context of path-integralquantization. We derive the ghost-loop anomalies to all orders in $\hslash$ directly from the path-integral measure by the Fujikawa method. We also show that in the matter sector the higher-loop anomalies can be obtained by implementation of the Wess-Zumino consistency condition using the one-loop anomaly. Cancellation of the anomalies between these two sectors then leaves the theory anomaly-free.

9 pages, Imperial/TP/93-94/43, Plain TeX

References in corpus (1)

• Simplifications in Lagrangian BV quantization exemplified by the anomalies of chiral $W_3$ gravity

Cited by in corpus (1)

• Higher-loop anomalies in chiral gravities