New Vector Field and BRST Charges in 2-form Einstein Gravity
A. Nakamichi, T. Ueno

TL;DR
This paper introduces a new vector field in 2-form Einstein gravity to enhance its symmetry structure and presents two distinct BRST charge formulations related to different symmetry sets.
Contribution
It proposes a novel vector field and provides two different BRST charge expressions for 2-form Einstein gravity, improving understanding of its symmetry properties.
Findings
New vector field restores large symmetry in 2-form Einstein gravity.
Two BRST charge expressions linked to different symmetry types.
Enhanced symmetry understanding in topological gravity models.
Abstract
A new vector field is introduced into 2-form Einstein gravity in four dimensions to restore a large symmetry of its topological version. Two different expressions for the BRST charge are given in the system: one of them associated with a set of irreducible symmetries and the other with a set of on-shell reducible symmetries.
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