BRST cohomology in Beltrami parametrization
L. Tataru, Ion V. Vancea (Dept. of Theor. Physics, Babes-Bolyai, University of Cluj, Romania)

TL;DR
This paper computes the complete BRST cohomology for a two-dimensional conformal field theory model with Beltrami parametrization, elucidating the structure of gauge invariances and anomalies in this setting.
Contribution
It provides a comprehensive calculation of all BRST cohomology elements in a Beltrami parametrized conformal field theory, a novel explicit analysis in this context.
Findings
Complete BRST cohomology classification achieved.
Insights into gauge invariances in Beltrami parametrization.
Potential implications for anomaly analysis in 2D conformal theories.
Abstract
We study the BRST cohomology within a local conformal Lagrangian field theory model built on a two dimensional Riemann surface with no boundary. We deal with the case of the complex structure parametrized by Beltrami differential and the scalar matter fields. The computation of {\em all} elements of the BRST cohomology is given.
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