What does the string/gauge correspondence teach us about Wilson loops?

Abstract

In these lectures we describe the attempt to extract the expectation values of Wilson loops from the string/gauge correspondence. We start with the original calculation in $Ad{S}_5$. It is then extended to the non-conformal background of $D_p$ in the near horizon limit. We discuss the computation at finite temperature. Supergravity models that admit confinement in 3d and 4d are described. A theorem that determines the classical values of loops associated with a generalized background is derived.In particular we determine sufficient conditions for confining behavior. We then apply the theorem to various string models including type 0 ones. We describe an attempt to go beyond the classical string picture by incorporating quadratic quantum fluctuations. In particular we address the BPS configuration of a single quark, the supersymmetric determinant of $AdS_5\times S^$ and a setup that corresponds to a confining gauge theory. We determine the form of the Wilson loop for actions that include non trivial $B_{\mu \nu }$ field. The issue of an exact determination of the value of the stringy Wilson loop is discussed. We end with a brief review of the baryons from the string/gauge correspondence Lectures presented in the ``Advanced School on Supersymmetry in the theories of fields, strings and branes'' Santiago de Compostela-99.

Lectures presented at Santiago de Compostela-99, 47 pages, 13 figs

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• On jet quenching parameters in strongly coupled non-conformal gauge theories
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• Klebanov-Witten theory with massive dynamical flavors
• Comments on the String dual to N=1 SQCD
• Elaborations on the String Dual to N=1 SQCD
• Wilson loops in SYM theory: from weak to strong coupling
• Holography and Unquenched Quark-Gluon Plasmas
• Universal aspects of holographic Schwinger effect in general backgrounds
• Robustness and Infrared Sensitivity of Various Observables in the Application of AdS/CFT to Heavy Ion Collisions
• Light scalars from a compact fifth dimension
• Electric/magnetic duality and RG flows in AdS4/CFT3
• The supergravity dual of 3d supersymmetric gauge theories with unquenched flavors
• Enhancing the Jet Quenching Parameter from Marginal Deformations
• Stability of string configurations dual to quarkonium states in AdS/CFT
• Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma
• Thermal string probes in AdS and finite temperature Wilson loops
• Non-local observables at finite temperature in AdS/CFT
• D3-brane Holography
• Gauge/String Duality in Confining Theories
• Thermal suppression of moving heavy quark pairs in strongly coupled plasma
• On $\mathcal{N}=1$ susy backgrounds with $AdS$ factor from nonabelian T-duality
• Towards holographic walking from N=4 super Yang-Mills
• Flavor Corrections in the Static Potential in Holographic QCD
• Looking for event horizons using UV/IR relations
• Holography and $Ad{S}_4$ self-gravitating dyons
• Vector-axial vector correlators in weak electric field and the holographic dynamics of the chiral condensate
• Observables in the Guarino-Jafferis-Varela/CS-SYM duality
• Tension of Confining Strings at Low Temperature
• Gauged Supergravities from Spherical Reductions
• Wilson Loop and Dimensional Reduction in Non-Commutative Gauge Theories
• Walking solutions in the string background dual to N=1 SQCD-like theories
• Supersymmetric Wilson Loops in Diverse Dimensions
• Einstein black holes, free scalars and AdS/CFT correspondence
• Comments on the T-dual of the gravity dual of D5-branes on $S^3$
• Quantum corrections to minimal surfaces with mixed three-form flux
• The quark-gluon plasma and D6-branes on the conifold
• Large N field theories from superstrings
• Wilson Loops of Klebanov-Strassler like Wrapped Brane Models
• Non-perturbative Aspects of Quantum Field Theories from Holography
• Confinement and screening of the Schwinger model on the Poincare half plane