Triplectic Quantization of W2 gravity

TL;DR

This paper explores one-loop corrections in triplectic quantization applied to W2 gravity, highlighting how anomalies and Wess-Zumino terms manifest within an extended BRST invariant framework.

Contribution

It demonstrates the incorporation of anomalies and Wess-Zumino terms in triplectic quantization of W2 gravity with extended BRST symmetry.

Findings

Identification of anomalies in the quantization scheme

Explicit form of Wess-Zumino terms in this context

Extension of BRST invariance in an anticanonical form

Abstract

The role of one loop order corrections in the triplectic quantization is discussed in the case of W2 theory. This model illustrates the presence of anomalies and Wess Zumino terms in this quantization scheme where extended BRST invariance is represented in a completely anticanonical form.