Dual conformal transformations of smooth holographic Wilson loops

Abstract

We study dual conformal transformations of minimal area surfaces in $Ad{S}_5\times S^5$ corresponding to holographic smooth Wilson loops and some other related observables. To act with dual conformal transformations we map the string solutions to the dual space by means of T-duality, then we apply a conformal transformation and finally T-dualize back to the original space. The transformation maps between string solutions with different boundary contours. The boundary contours of the minimal surfaces are not mapped back to the AdS boundary, and the regularized area of the surface changes.

arXiv comment21 pages, many figures

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Cited by in corpus (3)

• Yangian Symmetry of String Theory on $Ad{S}_3\times S^3\times S^3\times S^1$ with Mixed 3-form Flux
• On a new type of divergence for spiky Wilson loops and related entanglement entropies
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory