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What does the string/gauge correspondence teach us about Wilson loops?
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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 $AdS_5$. 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.
Forward citations
Cited by 2 Pith papers
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Exact Schwarzian Metric Factor and Holographic Wilson-Loop Screening
Exact Schwarzian averaging yields a completely monotone metric factor with no confining minimum, so the Wilson-loop potential screens as E(L) ~ -κ_IR/L² rather than confining.
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Universal Observables, SUSY RG-Flows and Holography
New Type IIB, 11d, and Type IIA supergravity flows dual to twisted-compactified 4d SCFTs yield a universal factorization of Wilson loops, flow central charges, and complexity.
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