Gauge models in modified triplectic quantization

TL;DR

This paper applies the modified triplectic formalism to quantize various gauge models, deriving explicit solutions for quantum actions, gauge-fixing functionals, and extended BRST symmetries.

Contribution

It provides explicit solutions for the generating equations in the modified triplectic formalism for multiple gauge models, advancing quantization techniques.

Findings

Explicit solutions for quantum actions and gauge-fixing functionals.

Construction of vacuum functional and extended BRST transformations.

Demonstration of the formalism's applicability to diverse gauge models.

Abstract

We apply the modified triplectic formalism for quantizing several popular gauge models - non-abelian antisymmetric tensor field model, W2-gravity and two-dimensional gravity with dynamical torsion. The explicit solutions are obtained for the generating equations of the quantum action and the gauge-fixing functional. Using these solutions we construct the vacuum functional and obtain the corresponding transformations of the extended BRST symmetry.