Yangian Symmetry in Five Dimensions

Lipstein, Arthur E.; Orchard, Tristan

doi:10.1103/physrevlett.129.231602

Phys. Rev. Lett.

2022

DOI: 10.1103/physrevlett.129.231602

|View full text |Cite

Yangian Symmetry in Five Dimensions

Arthur E. Lipstein

Tristan Orchard

Help me understand this report

View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Fermions with SU(1, n) spacetime symmetry

Smith

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We construct theories of free fermions in (2n − 1)-dimensions with SU(1, n) spacetime symmetry from the null reduction of fermions on a 2n-dimensional Ω-deformed Minkowski background for n = 2 and n = 3. These play a role in the 5d SU(1, 3)-invariant theories that are conjectured to offer a full description of certain 6d superconformal field theories. We find the (2n − 1)-dimensional manifestation of the supersymmetry of a free 2n-dimensional boson-fermion system, which we use to fix the fermion two-point functions. It is then shown that the full 2n-dimensional two-point function can be recovered through resummation. Limits of the theories are considered, and it is observed that both Galilean and Carrollian field theories appear in different regimes. We confirm that the correlation functions obey the SU(1, n) Ward identities and the representations of the fermions under this group are discussed.

show abstract

Fermions with SU(1, n) spacetime symmetry

Smith

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Yangian Symmetry in Five Dimensions

Cited by 1 publication

References 66 publications

Fermions with SU(1, n) spacetime symmetry

Fermions with SU(1, n) spacetime symmetry

Contact Info

Product

Resources

About