Transformations and BRST-Charges in 2+1 Dimensional Gravitation
G\'eza F\"ul\"op
TL;DR
This paper explores canonical transformations between various formulations of 2+1 dimensional gravity and presents three distinct BRST-charge forms within the Ashtekar formalism, highlighting differences in their structure.
Contribution
It computes explicit canonical transformations among ADM, Ashtekar, and Witten formulations and introduces three different BRST-charge constructions in 2+1 dimensions.
Findings
Canonical transformations explicitly relate different gravity formulations.
Three distinct BRST-charge forms are constructed in the Ashtekar formalism.
BRST-charges differ in rank and structure.
Abstract
Canonical transformations relating the variables of the ADM-, Ashtekar's and Witten's formulations of gravity are computed in 2+1~dimensions. Three different forms of the BRST-charge are given in the 2+1 dimensional Ashtekar formalism, two of them using Ashtekar's form of the constraints and one of them using the forms suggested by Witten. The BRST-charges are of different rank.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.