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Analytic results for MHV Wilson loops

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Abstract

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled \( \mathcal{N} = 4 \) supersymmetric gauge theory. The contours we consider can be embedded into a (1 + 1)-dimensional subspace of the 4-dimensional gauge theory, corresponding to the boundary of the AdS 3 on the string theory side. Our analytic results hold for any number of edges, thus generalising to arbitrary n the recently derived expressions for 2-dimensional octagons. These polygonal Wilson loops have been conjectured to be equivalent to MHV scattering amplitudes in planar \( \mathcal{N} = 4 \) SYM.

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Authors and Affiliations

  1. Institute for Particle Physics Phenomenology, Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, United Kingdom

    Paul Heslop

  2. Institute for Particle Physics Phenomenology, Department of Physics, Durham University, Durham, DH1 3LE, United Kingdom

    Paul Heslop & Valentin V. Khoze

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  1. Paul Heslop
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  2. Valentin V. Khoze
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Correspondence to Paul Heslop.

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ArXiv ePrint: 1007.1805

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Heslop, P., Khoze, V.V. Analytic results for MHV Wilson loops. J. High Energ. Phys. 2010, 35 (2010). https://doi.org/10.1007/JHEP11(2010)035

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