Wilson loops T-dual to Short Strings

Abstract

We show that closed string solutions in the bulk of AdS space are related by T-duality to solutions representing an open string ending at the boundary of AdS. By combining the limit in which a closed string becomes small with a large boost, we find that the near-flat space short string in the bulk maps to a periodic open string world surface ending on a wavy line at the boundary. This open string solution was previously found by Mikhailov and corresponds to a time-like near BPS Wilson loop differing by small fluctuations from a straight line. A simple relation is found between the shape of the Wilson loop and the shape of the closed string at the moment when it crosses the horizon of the Poincare patch. As a result, the energy and spin of the closed string are encoded in properties of the Wilson loop. This suggests that closed string amplitudes with one of the closed strings falling into the Poincare horizon should be dual to gauge theory correlators involving local operators and a Wilson loop of the T-dual ("momentum") theory.

35 pages, 3 figures. v2: comments added

References in corpus (11)

• Gluon scattering amplitudes at strong coupling
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• An Operator Product Expansion for Polygonal null Wilson Loops
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Analytic Solution of Bremsstrahlung TBA
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Nonlinear waves in AdS/CFT correspondence
• Large Winding Sector of AdS/CFT
• On the Derivation of the Exact Slope Function
• Scaling dimensions at small spin in N=4 SYM theory
• More about "short" spinning quantum strings

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• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• Negative anomalous dimensions in N=4 SYM
• Duality and Decay of Macroscopic F-Strings
• One-loop correction to the energy of a wavy line string in AdS_5
• BPS Wilson Loop T-dual to Spinning String in AdS5xS5
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory
• Comments on the slope function