Abstract
BRST transformations are studied in the path integral approach to string theory of Riemann surfaces of genus h ⩾ 2. The BRST Ward identity (WI) is shown to be anomalous, the anomaly being due to non-invariance of the functional integration domain under BRST transformations. The distinction between complete Lagrange BRST transformations including the metric and the auxiliary field and the commonly used “truncated” BRST transformation is discussed in detail. The problem of decoupling of spurions from physical operators is investigated.
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