Constraints and Superspin for SuperPoincare Algebras in Diverse Dimensions
Andrea Pasqua, Bruno Zumino
TL;DR
This paper extends the construction of covariant supersymmetric constraints for massless superPoincare algebras to arbitrary dimensions, demonstrating their uniqueness in fixing algebra representations and contrasting with massive cases.
Contribution
It generalizes previous eleven-dimensional results to all dimensions and clarifies the role of constraints in defining algebra representations.
Findings
Constraint construction is valid in arbitrary dimensions.
The constraint uniquely determines the algebra's representation.
Comparison between massless and massive superPoincare algebra constraints.
Abstract
We generalize to arbitrary dimension the construction of a covariant and supersymmetric constraint for the massless superPoincare algebra, which was given for the eleven-dimensional case in a previous work. We also contrast it with a similar construction appropriate to the massive case. Finally we show that the constraint uniquely fixes the representation of the algebra.
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.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Black Holes and Theoretical Physics