Properties of Chiral Wilson Loops

Abstract

We study a class of Wilson Loops in N =4, D=4 Yang-Mills theory belonging to the chiral ring of a N=2, d=1 subalgebra. We show that the expectation value of these loops is independent of their shape. Using properties of the chiral ring, we also show that the expectation value is identically 1. We find the same result for chiral loops in maximally supersymmetric Yang-Mills theory in three, five and six dimensions. In seven dimensions, a generalized Konishi anomaly gives an equation for chiral loops which closely resembles the loop equations of the three dimensional Chern-Simons theory.

arXiv comment15 pages, two pictures, some references added

References in corpus (25)

• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
• Wilson Loops and Minimal Surfaces
• Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity
• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• A Perturbative Window into Non-Perturbative Physics
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Higher dimensional supersymmetry in 4D superspace
• String Theory and Quark Confinement
• Four-Dimensional Superconformal Theories with Interacting Boundaries or Defects
• Supersymmetric Wilson loops
• On Euclidean spinors and Wick rotations
• Intersecting D3-branes and Holography
• Euclidean SYM Theories by Time Reduction and Special Holonomy Manifolds
• N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories
• Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills
• Instantons, Euclidean supersymmetry and Wick rotations
• (De)constructing Intersecting M5-branes
• Variational derivation of exact skein relations from Chern--Simons theories
• A continuous Wick rotation for spinor fields and supersymmetry in Euclidean space
• Ward Identities for N=2 Rigid and Local Supersymmetry in Euclidean Space
• N=1* in 5 dimensions: Dijkgraaf-Vafa meets Polchinski-Strassler

Cited by in corpus (23)

• Supersymmetric Wilson loops on S^3
• Generalizations of the AdS/CFT correspondence
• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• On the integrability of Wilson loops in AdS_5 x S^5: Some periodic ansatze
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Wilson Loops in N=2 Superconformal Yang-Mills Theory
• Holography and the Higgs branch of N=2 SYM theories
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Calibrated Surfaces and Supersymmetric Wilson Loops
• BPS Wilson Loops on S^2 at Higher Loops
• Precision matching of circular Wilson loops and strings in AdS(5)xS(5)
• Less is More: Non-renormalization Theorems from Lower Dimensional Superspace
• Observations on BPS observables in 6d
• Dressed Wilson Loops on S^2
• Impure Aspects of Supersymmetric Wilson Loops
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• M2-doughnuts
• Supersymmetric Wilson Loops in Diverse Dimensions
• BPS surface operators and calibrations
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• More Fermionic Supersymmetric Wilson loops in Four Dimensions