Regularisation, the BV method, and the antibracket cohomology
Walter Troost, Antoine Van Proeyen
TL;DR
This paper reviews the Batalin-Vilkovisky method for gauge theories, focusing on cohomology of the antibracket, with applications to 2D gravity, providing insights into action forms, anomalies, and background charges.
Contribution
It offers a comprehensive review of the BV formalism emphasizing cohomology, and derives the most general forms for actions and anomalies in 2D gravity.
Findings
Cohomology of the antibracket is central to gauge theory quantization.
Derived the most general action forms for 2D gravity.
Analyzed solutions for cohomology in local integral spaces.
Abstract
We review the Lagrangian Batalin--Vilkovisky method for gauge theories. This includes gauge fixing, quantisation and regularisation. We emphasize the role of cohomology of the antibracket operation. Our main example is gravity, for which we also discuss the solutions for the cohomology in the space of local integrals. This leads to the most general form for the action, for anomalies and for background charges.
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.