We classify bosonic N 1⁄4 ð2; 2Þ supersymmetric Wilson loops on arbitrary backgrounds with vectorlike R-symmetry. These can be defined on any smooth contour and come in two forms which are universal across all backgrounds. We show that these Wilson loops, due to their cohomological properties, are all invariant under smooth deformations of their contour. At genus-zero they can always be mapped to local operators and computed exactly with supersymmetric localization. Finally, we find the precise map, under two-dimensional Seiberg-like dualities, of correlators of supersymmetric Wilson loops.
Supersymmetric Wilson loops in two dimensions and duality / Panerai, Rodolfo; Poggi, Matteo; Seminara, Domenico. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - STAMPA. - 100:(2019), pp. 1-16. [10.1103/PhysRevD.100.025011]
Supersymmetric Wilson loops in two dimensions and duality
POGGI, MATTEO MARIA;Seminara, Domenico
2019
Abstract
We classify bosonic N 1⁄4 ð2; 2Þ supersymmetric Wilson loops on arbitrary backgrounds with vectorlike R-symmetry. These can be defined on any smooth contour and come in two forms which are universal across all backgrounds. We show that these Wilson loops, due to their cohomological properties, are all invariant under smooth deformations of their contour. At genus-zero they can always be mapped to local operators and computed exactly with supersymmetric localization. Finally, we find the precise map, under two-dimensional Seiberg-like dualities, of correlators of supersymmetric Wilson loops.File | Dimensione | Formato | |
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