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On the integrability of Wilson loops
 in AdS5 × S5: Some periodic ansätze,” JHEP 01 (2006) 056, hepth/0506058
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Erratum: On holographic three point functions for GKP strings from integrability”, JHEP 06
, 2012
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Algebraic Curves for Integrable String Backgrounds,” arXiv:1005.1342 [hepth
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Threepoint functions in planar N = 4 super YangMills Theory for scalar operators up to length five at the oneloop order
 JHEP
, 2012
"... YangMills Theory for scalar operators up to length five at the oneloop order ..."
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YangMills Theory for scalar operators up to length five at the oneloop order
Jumpstarting the allloop Smatrix of planar N = 4 super YangMills
, 2012
"... We derive a set of firstorder differential equations obeyed by the Smatrix of planar maximally supersymmetric YangMills theory. The equations, based on the Yangian symmetry of the theory, involve only finite and regulatorindependent quantities and uniquely determine the allloop Smatrix. When ..."
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We derive a set of firstorder differential equations obeyed by the Smatrix of planar maximally supersymmetric YangMills theory. The equations, based on the Yangian symmetry of the theory, involve only finite and regulatorindependent quantities and uniquely determine the allloop Smatrix. When expanded in powers of the coupling they give derivatives of amplitudes as single integrals over lowerloop, higherpoint amplitudes/Wilson loops. We outline a derivation for the equations using the Operator Product Expansion for Wilson loops. We apply them on a few examples at two and threeloops, reproducing a recent result on the twoloop NMHV hexagon and fixing previously undermined coefficients in a recent Ansatz for the threeloop MHV hexagon. In addition, we consider amplitudes restricted to a twodimensional subspace of Minkowski space, and obtain some equations which involve only that sector.
arXiv:1111.2839v3 Real and Virtual Bound States in Lüscher Corrections for CP 3 Magnons
, 2011
"... We study classical and quantum finitesize corrections to giant magnons in AdS4 × CP 3 using generalised Lüscher formulae. Lüscher Fterms are organised in powers of the exponential suppression factor (e−∆/2h)m, and we calculate all terms in this series, matching oneloop algebraic curve results ..."
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We study classical and quantum finitesize corrections to giant magnons in AdS4 × CP 3 using generalised Lüscher formulae. Lüscher Fterms are organised in powers of the exponential suppression factor (e−∆/2h)m, and we calculate all terms in this series, matching oneloop algebraic curve results from our previous paper [1]. Starting with the second term, the structure of these terms is different to those in AdS5 × S5 thanks to the appearance of heavy modes in the loop, which can here be interpreted as twoparticle bound states in the mirror theory. By contrast, physical bound states can represent dyonic giant magnons, and we also calculate Fterms for these solutions. Lüscher µterms, suppressed by e−∆/E, instead give at leading order the classical finitesize correction. For the elementary dyonic giant magnon we recover the correction given by [2]. We then extend this to calculate the next term in 1/h, giving a oneloop prediction. Finally we also calculate Fterms for the various composite giant magnons, RP 3 and ‘big’, again finding agreement to all orders.