Sp(2)-Symmetric Lagrangian BRST Quantization

TL;DR

This paper develops an $Sp(2)$-symmetric Lagrangian BRST quantization framework, deriving conditions from Schwinger-Dyson equations and connecting it to triplectic quantization under certain conditions.

Contribution

It introduces an $Sp(2)$-symmetric quantization condition derived from Schwinger-Dyson BRST symmetry and relates it to triplectic quantization.

Findings

Derived $Sp(2)$-symmetric quantization condition from Schwinger-Dyson equations.

Established conditions for recasting in triplectic quantization.

Connected $Sp(2)$-symmetry with flat coordinate formulations.

Abstract

One Lagrangian BRST quantization principle is that of imposing correct Schwinger-Dyson equations through the BRST Ward identities. In this paper we show how to derive the analogous $Sp(2)$-symmetric quantization condition in flat coordinates from an underlying $Sp(2)$-symmetric Schwinger-Dyson BRST symmetry. We also show under what conditions this can be recast in the language of triplectic quantization.