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arXiv · hep-th/9402108

New insight into BRST anomalies in superstring theory

T. Fujiwara·Y. Igarashi·M. Koseki·R. Kuriki·T. Tabei
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Abstract

Based on the extended BRST formalism of Batalin, Fradkin and Vilkovisky, we perform a general algebraic analysis of the BRST anomalies in superstring theory of Neveu-Schwarz-Ramond. Consistency conditions on the BRST anomalies are completely solved. The genuine super-Virasoro anomaly is identified with the essentially unique solution to the consistency condition without any reference to a particular gauge for the 2D supergravity fields. In a configuration space where metric and gravitino fields are properly constructed, general form of the super-Weyl anomaly is obtained from the super-Virasoro anomaly as its descendant. We give a novel local action of super-Liouville type, which plays a role of Wess-Zumino-Witten term shifting the super-Virasoro anomaly into the super-Weyl anomaly. These results reveal a hierarchial relationship in the BRST anoamlies.

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T. Fujiwara, Y. Igarashi, M. Koseki, R. Kuriki, T. Tabei. 1994-02-18. New insight into BRST anomalies in superstring theory. https://doi.org/10.1016/0550-3213(94)90182-1

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