Achiral boundaries and the twisted Yangian of the D5-brane

@article{Mackay2011AchiralBA,
  title={Achiral boundaries and the twisted Yangian of the D5-brane},
  author={Niall J. Mackay and Vidas Regelskis},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2011},
  pages={1-22}
}
We consider integrable field theories with achiral boundary conditions and uncover the underlying achiral twisted Yangian algebra. This construction arises from old work on the bosonic principal chiral model on a half-line, but finds a modern realization as the hidden symmetry in the planar limit of the scattering of worldsheet excitations of the AdS/CFT light-cone superstring off a D5-brane. 
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26 Citations

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References

SHOWING 1-10 OF 37 REFERENCES

Yangian symmetry and bound states in AdS/CFT boundary scattering

We consider the problem of boundary scattering for Y = 0 maximal giant graviton branes. We show that the boundary S-matrix for the fundamental excitations has a Yangian symmetry. We then exploit this…

Integrable achiral D5-brane reflections and asymptotic Bethe equations

We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations of the D5-brane with respect to the reference vacuum state,…

On the reflection of magnon bound states

We investigate the reflection of two-particle bound states of a free open string in the light-cone AdS5 ×S5 string sigma model, for large angular momentum J = J56 and ending on a D7 brane which wraps…

Boundary remnant of Yangian symmetry and the structure of rational reflection matrices

Reflecting magnons from D7 and D5 branes

We obtain the reflection matrices for the scattering of elementary magnons from certain open boundaries, corresponding to open strings ending on D7 and D5 branes in AdS5 × S5. In each case we…

Boundary finite size corrections for multiparticle states and planar AdS/CFT

We propose formulas for the Lüscher type finite size energy correction of multiparticle states on the interval and evaluate them for the simplest case in the AdS/CFT setting. By this we determine the…

Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries

We review the role of integrability in the planar spectral problem of four-dimensional superconformal gauge theories besides $${\fancyscript{N}=4}$$ SYM. The cases considered include the…

Yangian symmetry of boundary scattering in AdS/CFT and the explicit form of bound state reflection matrices

The reflection matrices of multi magnon bound states are obtained explicitely by exploiting the Yangian symmetry of boundary scattering on the Y = 0 maximal giant graviton brane.

Quantum spin chain with `soliton non-preserving' boundary conditions

We consider the case of an integrable quantum spin chain with `soliton non-preserving' boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain…

Reflecting magnons

We study the worldsheet reflection matrix of a string attached to a D-brane in AdS5× S. The D-brane corresponds to a maximal giant graviton and it wraps an S inside S. In the gauge theory, the open…