Representation dependence of k -strings in pure Yang-Mills theory via supersymmetry

Anber, Mohamed M.; Pellizzani, Vito

Abstract

We exploit a conjectured continuity between super Yang-Mills on R 3 × S 1 and pure Yang-Mills to study k -strings in the latter theory. As expected, we find that Wilson-loop correlation functions depend on the N-ality of a representation R to the leading order. However, the next-to-leading order correction is not universal and is given by the group characters, in the representation R , of the permutation group. We also study W-bosons in super Yang-Mills. We show that they are deconfined on the string world sheet, and therefore, they can change neither the string N-ality nor its tension. This phenomenon mirrors the fact that soft gluons do not screen probe charges with nonzero N-ality in pure Yang-Mills. Finally, we comment on the scaling law of k -strings in super Yang-Mills and compare our findings with strings in Seiberg-Witten theory, deformed Yang-Mills theory, and holographic studies that were performed in the ’t Hooft large- N limit.

Citation

Anber, M. M., & Pellizzani, V. (2017). Representation dependence of k -strings in pure Yang-Mills theory via supersymmetry. Physical Review D, 96(11), Article 114015. https://doi.org/10.1103/physrevd.96.114015

• Journal Article Type: Article
• Online Publication Date: Dec 14, 2017
• Publication Date: Dec 1, 2017
• Deposit Date: Oct 3, 2021
• Publicly Available Date: Oct 4, 2021
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 96
• Issue: 11
• Article Number: 114015
• DOI: https://doi.org/10.1103/physrevd.96.114015
• Public URL: https://durham-repository.worktribe.com/output/1237957