REVIEW 1 cited by
The sh Lie structure of Poisson brackets in field theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
A general construction of an sh Lie algebra from a homological resolution of a Lie algebra is given. It is applied to the space of local functionals equipped with a Poisson bracket, induced by a bracket for local functions along the lines suggested by Gel'fand, Dickey and Dorfman. In this way, higher order maps are constructed which combine to form an sh Lie algebra on the graded differential algebra of horizontal forms. The same construction applies for graded brackets in field theory such as the Batalin-Fradkin-Vilkovisky bracket of the Hamiltonian BRST theory or the Batalin-Vilkovisky antibracket.
Forward citations
Cited by 1 Pith paper
-
Multisymplectic observable reduction using constraint triples
Any BV-module with a cocycle yields an L∞-algebra of observables, and constraint-triple reduction of that algebra recovers and explains the multisymplectic reduction of Blacker, Miti and Ryvkin.
Discussion (0). Sign in to comment.