Results 1  10
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175
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
, 2007
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Notes on superconformal ChernSimonsmatter theories
 JHEP 0708, 056 (2007) [arXiv:0704.3740 [hepth
"... The three dimensional N = 2 supersymmetric ChernSimons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be arbitrarily weakly coupled, and hence can be studied perturbati ..."
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Cited by 112 (7 self)
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The three dimensional N = 2 supersymmetric ChernSimons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be arbitrarily weakly coupled, and hence can be studied perturbatively. We study the theories in the large N limit, and compute the twoloop anomalous dimension of certain long operators. Our result suggests that various N = 2 U(N) ChernSimons theories coupled to suitable matter fields are dual to open or closed string theories in AdS4, which are not yet constructed.
Wrapping interactions at strong coupling – the giant magnon
, 2008
"... We derive generalized Lüscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS5 × S⁵ superstring these formulas encode leading wrapping interaction effects. We apply the generalized µterm formula to calculate finite size corrections to the dispersion ..."
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Cited by 90 (3 self)
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We derive generalized Lüscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS5 × S⁵ superstring these formulas encode leading wrapping interaction effects. We apply the generalized µterm formula to calculate finite size corrections to the dispersion relation of the giant magnon at strong coupling. The result exactly agrees with the classical string computation of Arutyunov, Frolov and Zamaklar. The agreement involved a Borel resummation of all even looporders of the BES/BHL dressing factor thus providing a strong consistency check for the choice of the dressing factor.
Spinning superstrings at two loops: strongcoupling corrections to dimensions of largetwist SYM operators
, 2007
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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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Hexagon Wilson loop = sixgluon MHV amplitude
, 2008
"... We compare the twoloop corrections to the finite part of the lightlike hexagon Wilson loop with the recent numerical results for the finite part of the MHV sixgluon amplitude in N = 4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin, Vergu and Volovich (arXiv:0803.1465 [hepth]) and demonstra ..."
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Cited by 45 (5 self)
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We compare the twoloop corrections to the finite part of the lightlike hexagon Wilson loop with the recent numerical results for the finite part of the MHV sixgluon amplitude in N = 4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin, Vergu and Volovich (arXiv:0803.1465 [hepth]) and demonstrate that they coincide within the error bars and, at the same time, they differ from the BDS ansatz by a nontrivial function of (dual) conformal kinematical invariants. This provides strong evidence that the Wilson loop/scattering amplitude duality holds in planar N = 4 SYM theory to all loops for an arbitrary number of external particles.
Bootstrapping the threeloop hexagon
"... We consider the hexagonal Wilson loop dual to the sixpoint MHV amplitude in planar N = 4 super YangMills theory. We apply constraints from the operator product expansion in the nearcollinear limit to the symbol of the remainder function at three loops. Using these constraints, and assuming a natu ..."
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Cited by 37 (6 self)
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We consider the hexagonal Wilson loop dual to the sixpoint MHV amplitude in planar N = 4 super YangMills theory. We apply constraints from the operator product expansion in the nearcollinear limit to the symbol of the remainder function at three loops. Using these constraints, and assuming a natural ansatz for the symbol’s entries, we determine the symbol up to just two undetermined constants. In the multiRegge limit, both constants drop out from the symbol, enabling us to make a nontrivial confirmation of the BFKL prediction for the leadinglog approximation. This result provides a strong consistency check of both our ansatz for the symbol and the duality between Wilson loops and MHV amplitudes. Furthermore, we predict the form of the full threeloop remainder function in the multiRegge limit, beyond the leadinglog approximation, up to a few constants representing terms not detected by the symbol. Our results confirm an allloop prediction for the real part of the remainder function in multiRegge 3 → 3 scattering. In the multiRegge limit, our result for the remainder function can be expressed entirely in terms of classical polylogarithms. For generic sixpoint kinematics other functions are required.
Spiky strings, lightlike Wilson loops and ppwave . . .
, 2008
"... We consider rigid rotating closed strings with spikes in AdS5 dual to certain higher twist operators in N = 4 SYM theory. In the limit of large spin when the spikes reach the boundary of AdS5, the solutions with different numbers of spikes are related by conformal transformations, implying that th ..."
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Cited by 31 (1 self)
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We consider rigid rotating closed strings with spikes in AdS5 dual to certain higher twist operators in N = 4 SYM theory. In the limit of large spin when the spikes reach the boundary of AdS5, the solutions with different numbers of spikes are related by conformal transformations, implying that their energy is determined by the same function of the ‘t Hooft coupling f(λ) that appears in the anomalous dimension of twist 2 operators or in the cusp anomaly. In the limit when the number of spikes goes to infinity, we find an equivalent description in terms of a string moving in an AdS ppwave background. From the boundary theory point of view, the corresponding description is based on the gauge theory living in a 4d ppwave space. Then, considering a charge moving at the speed of light, or a null Wilson line, we find that the integrated energy momentum tensor has a logarithmic UV divergence whose coefficient we call the “ppwave anomaly”. The AdS/CFT correspondence implies that, for N = 4 SYM, this ppwave anomaly should have the same value as the cusp anomaly. We verify this at lowest order in SYM perturbation theory. As a side result of our string theory analysis, we find new open string solutions in the Poincare patch of the standard AdS space which end on a lightlike Wilson line and also in two parallel lightlike Wilson lines at the boundary.