REVIEW 4 cited by
A homotopy BV algebra for Yang-Mills and color-kinematics
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
Yang-Mills gauge theory on Minkowski space supports a Batalin-Vilkovisky-infinity algebra structure, all whose operations are local. To make this work, the axioms for a BV-infinity algebra are deformed by a quadratic element, here the Minkowski wave operator. This homotopy structure implies BCJ/color-kinematics duality; a cobar construction yields a strict algebraic structure whose Feynman expansion for Yang-Mills tree amplitudes complies with the duality. It comes with a `syntactic kinematic algebra'.
Forward citations
Cited by 4 Pith papers
-
The Double Copy of Maximal Supersymmetry in $D=4$
N=8 supergravity to cubic order is realized as the off-shell double copy of N=4 super Yang-Mills, with N=8 supersymmetry and SU(8) R-symmetry emerging from the two gauge factors.
-
Full S-matrices and Witten diagrams with (relative) L-infinity algebras
Cyclic relative L-infinity algebras encode the full S-matrix, including its trivial part, and reproduce Witten diagrams including CFT two-point functions.
-
Off-shell double copy theories in BV
A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.
-
HEFT Numerators from Kinematic Algebra
The heavy-mass effective field theory kinematic numerators are derived as the field theory limit of nested commutators of string vertex operators, reproducing and extending earlier fusion-rule results.
Discussion (0). Continue with ORCID to comment.