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

Anber, Mohamed M. and Pellizzani, Vito (2017) 'Representation dependence of k -strings in pure Yang-Mills theory via supersymmetry.', Physical review D., 96 (11). p. 114015.


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.

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Publisher statement:Reprinted with permission from the American Physical Society: Anber, Mohamed M. & Pellizzani, Vito (2017). Representation dependence of k -strings in pure Yang-Mills theory via supersymmetry. Physical Review D 96(11): 114015. © (2017) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission.
Date accepted:No date available
Date deposited:04 October 2021
Date of first online publication:14 December 2017
Date first made open access:04 October 2021

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