Hidden symmetries of the AdS(5) x S**5 superstring
TLDR
For the Green-Schwarz superstring, this article showed that the world sheet theory may be exactly solvable in the presence of nonlocal classically conserved charges of the type that exist in integrable field theories.Citations
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Perturbative Gauge Theory as a String Theory in Twistor Space
TL;DR: In this paper, Fourier transform the scattering amplitudes from momentum space to twistor space, and argue that the transformed amplitudes are supported on certain holomorphic curves, which is a consequence of an equivalence between the perturbative expansion of = 4 super Yang-Mills theory and the D-instanton expansion of a certain string theory.
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Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
TL;DR: In this paper, the leading-color (planar) three-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 - 2 -epsilon dimensions was constructed via the unitarity method, in terms of two Feynman loop integrals, one of which has been evaluated already.
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The N=4 SYM integrable super spin chain
TL;DR: In this paper, it was shown that the complete one-loop planar dilatation generator of N = 4 is described by an integrable su(2,2|4) super spin chain.
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The su(2|2) dynamic S-matrix
TL;DR: In this paper, the S-matrix for the su(2|3) dynamic spin chain and for planar N = 4 super Yang-Mills was derived and investigated.
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Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings
TL;DR: In this article, the authors generalize various existing higher-loop Bethe ansatze for simple sec- tors of the integrable long-range dynamic spin chain describing planar N = 4 Super Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to arbitrary loop order.
References
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Gauge Theory Correlators from Non-Critical String Theory
TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
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Anti de sitter space and holography
TL;DR: In this article, a correspondence between conformal field theory observables and those of supergravity was proposed, where correlation functions in conformal fields are given by the dependence of the supergravity action on the asymptotic behavior at infinity.
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A planar diagram theory for strong interactions
TL;DR: In this article, it was shown that only planar diagrams with the quarks at the edges dominate; the topological structure of the perturbation series in 1/N is identical to that of the dual models, such that the number 1/n corresponds to the dual coupling constant.
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The Large N Limit of Superconformal Field Theories and Supergravity
TL;DR: In this paper, it was shown that the super-conformal field theory on the brane decouples from the bulk of the field theory in a low energy limit.
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Nonabelian Bosonization in Two-Dimensions
TL;DR: In this article, a non-abelian generalization of the usual formulas for bosonization of fermions in 1+1 dimensions is presented, which is equivalent to a local bose theory which manifestly possesses all the symmetries of the fermi theory.