Wilson loops: From 4D supersymmetric Yang-Mills theory to 2D Yang-Mills theory

Nadav Drukker; Simone Giombi; Riccardo Ricci; Diego Trancanelli

doi:10.1103/PhysRevD.77.047901

Wilson loops: From 4D supersymmetric Yang-Mills theory to 2D Yang-Mills theory

Nadav Drukker, Simone Giombi, Riccardo Ricci, Diego Trancanelli

Research output: Contribution to journal › Article › peer-review

70 Scopus citations

Abstract

In this paper we study supersymmetric Wilson loops restricted to an S2 submanifold of four-dimensional space in N=4 super Yang-Mills theory. We provide evidence from both perturbation theory and the AdS dual that those loops are equal to the analogous observables in two-dimensional Yang-Mills on S2 (excluding nonperturbative contributions). This relates a subsector of N=4 SYM to a low-dimensional soluble model and also suggests that this subsector of N=4 SYM is invariant under area preserving diffeomorphisms.

Original language	English (US)
Article number	047901
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	77
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevD.77.047901
State	Published - Feb 25 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.77.047901

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AU - Ricci, Riccardo

AU - Trancanelli, Diego

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AB - In this paper we study supersymmetric Wilson loops restricted to an S2 submanifold of four-dimensional space in N=4 super Yang-Mills theory. We provide evidence from both perturbation theory and the AdS dual that those loops are equal to the analogous observables in two-dimensional Yang-Mills on S2 (excluding nonperturbative contributions). This relates a subsector of N=4 SYM to a low-dimensional soluble model and also suggests that this subsector of N=4 SYM is invariant under area preserving diffeomorphisms.

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Wilson loops: From 4D supersymmetric Yang-Mills theory to 2D Yang-Mills theory

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