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

81 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)

Access to Document

10.1103/PhysRevD.77.047901

Cite this

@article{77a363823aa7402b9d0cd5ac4edda230,

title = "Wilson loops: From 4D supersymmetric Yang-Mills theory to 2D Yang-Mills theory",

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.",

author = "Nadav Drukker and Simone Giombi and Riccardo Ricci and Diego Trancanelli",

year = "2008",

month = feb,

day = "25",

doi = "10.1103/PhysRevD.77.047901",

language = "English (US)",

volume = "77",

journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",

issn = "1550-7998",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Wilson loops

T2 - From 4D supersymmetric Yang-Mills theory to 2D Yang-Mills theory

AU - Drukker, Nadav

AU - Giombi, Simone

AU - Ricci, Riccardo

AU - Trancanelli, Diego

PY - 2008/2/25

Y1 - 2008/2/25

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/41149123862

UR - https://www.scopus.com/pages/publications/41149123862#tab=citedBy

U2 - 10.1103/PhysRevD.77.047901

DO - 10.1103/PhysRevD.77.047901

M3 - Article

AN - SCOPUS:41149123862

SN - 1550-7998

VL - 77

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 4

M1 - 047901

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this