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arXiv · hep-th/9407006

Path-integral quantization of $W_\infty$ gravity

R. Mohayaee
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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 $\hbar$ 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.

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R. Mohayaee. 1994-07-01. Path-integral quantization of $W_\infty$ gravity. https://doi.org/10.1016/0370-2693(94)90369-7

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