# 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} }

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…

## 34 Citations

### Review of AdS/CFT Integrability, Chapter V.2: Dual Superconformal Symmetry

- Physics, Mathematics
- 2012

Scattering amplitudes in planar $${\mathcal{N}=4}$$ super Yang–Mills theory reveal a remarkable symmetry structure. In addition to the superconformal symmetry of the Lagrangian of the theory, the…

### Yangian Symmetry in N=4 super Yang-Mills

- Physics, Mathematics
- 2011

In this paper we review recent results on symmetries in N=4 super Yang-Mills theory. Symmetries are of invaluable help in studying and constraining the scattering amplitudes, and there has been a lot…

### Minimal surfaces of the AdS 5 × S 5 ?> superstring and the symmetries of super Wilson loops at strong coupling

- Physics
- 2015

Based on an extension of the holographic principle to superspace, we provide a strong-coupling description of smooth super Wilson loops in = 4 ?> super Yang–Mills theory in terms of minimal…

### Fermionic T-duality: A snapshot review

- Physics
- 2012

Through a self-dual mapping of the geometry AdS5 x S5, fermionic T-duality provides a beautiful geometric interpretation of hidden symmetries for scattering amplitudes in N=4 super-Yang-Mills.…

### Self-duality of Green-Schwarz sigma-models

- Mathematics
- 2011

We study fermionic T-duality symmetries of integrable Green-Schwarz sigma-models on Anti-de-Sitter backgrounds with Ramond-Ramond fluxes, constructed as $ {\mathbb{Z}_4} $ supercosets of…

### Exact superconformal and Yangian symmetry of scattering amplitudes

- Physics
- 2011

We review recent progress in the understanding of symmetries for scattering amplitudes in superconformal Yang–Mills theory. It is summarized how the superficial breaking of superconformal symmetry by…

### Dual conformal transformations of smooth holographic Wilson loops

- Mathematics
- 2016

A bstractWe study dual conformal transformations of minimal area surfaces in AdS5 ×S5 corresponding to holographic smooth Wilson loops and some other related observables. To act with dual conformal…

### Exacting N=4 Superconformal Symmetry

- Mathematics
- 2009

Tree level scattering amplitudes in N = 4 super Yang-Mills theory are al- most, but not exactly invariant under the free action of the N = 4 superconformal algebra. What causes the non-invariance is…

### Symmetries of the N=4 SYM S-matrix

- Mathematics
- 2009

Under the assumption of a CSW generalization to loop amplitudes in N=4 SYM, (1) We prove that, formally the S-matrix is superconformal invariant to any loop order, and (2) We argue that…

## References

SHOWING 1-10 OF 39 REFERENCES

### On Integrable Backgrounds Self-dual under Fermionic T-duality

- Physics
- 2009

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

- Mathematics, Physics
- 2008

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

- Mathematics, Physics
- 2003

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

- Physics
- 2003

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

- Physics
- 2008

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…

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

- Physics, Mathematics
- 2010

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

- Physics
- 2010

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

- PhysicsLiving 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.