T‐Duality, dual conformal symmetry and integrability for strings on AdS5 × S5

@article{Beisert2009TDualityDC,
  title={T‐Duality, dual conformal symmetry and integrability for strings on AdS5 × S5},
  author={Niklas Beisert},
  journal={Fortschritte der Physik},
  year={2009},
  volume={57}
}
  • N. Beisert
  • Published 3 March 2009
  • Mathematics, Physics
  • Fortschritte der Physik
In recent years two intriguing observations have been made for 𝒩 = 4 super Yang–Mills theory and for superstrings on AdS5 × S5: In the planar limit the computation of the spectrum is vastly simplified by the apparent integrability of the models. Furthermore, planar scattering amplitudes of the gauge theory display remarkable features which have been attributed to the appearance of a dual superconformal symmetry. Here we review the connection of these two developments from the point of view of… 
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References

SHOWING 1-10 OF 39 REFERENCES

On Integrable Backgrounds Self-dual under Fermionic T-duality

We study the fermionic T-duality symmetry of integrable Green-Schwarz sigma-models on AdS backgrounds with Ramond-Ramond fluxes in various dimensions. We show that sigma-models based on supercosets…

A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix

We present a supersymmetric recursion relation for tree-level scattering amplitudes in N=4 super Yang-Mills. Using this recursion relation, we prove that the tree-level S matrix of the maximally…

A relation between approaches to integrability in superconformal Yang-Mills theory

We make contact between the infinite-dimensional non-local symmetry of the type-IIB superstring on AdS5 × S5 and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled…

Hidden Symmetries of the AdS_5 x S^5 Superstring

Attempts to solve Yang-Mills theory must eventually face the problem of analyzing the theory at intermediate values of the coupling constant. In this regime neither perturbation theory nor the…

Dual superconformal symmetry from AdS5xS5 superstring integrability

We discuss 2d duality transformations in the classical AdS5 � S 5 superstring and their effect on the integrable structure. T-duality along four directions in the Poincareparametrization of AdS5 maps…

Conformal properties of four-gluon planar amplitudes and Wilson loops

Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory

The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability

Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes

Spinning Strings and Integrable Spin Chains in the AdS/CFT Correspondence

  • J. Plefka
  • Physics
    Living reviews in relativity
  • 2005
It is argued that semiclassical string energies yield information on the quantum spectrum of the string in the limit of large angular momenta on the S5, leading to an asymptotic all-loop conjecture for the gauge theory Bethe equations.