# 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.

## 26 Citations

### Reflection algebra, Yangian symmetry and bound-states in AdS/CFT

- Mathematics
- 2012

A bstractWe present the ‘Heisenberg picture’ of the reflection algebra by explicitly constructing the boundary Yangian symmetry of an AdS/CFT superstring which ends on a boundary with non-trivial…

### Secret Symmetries in AdS/CFT Proceedings to the Nordita program 'Exact Results in Gauge-String Dualities'

- Physics
- 2012

We discuss special quantum group (secret) symmetries of the integrable system associated to the AdS/CFT correspondence. These symmetries have by now been observed in a variety of forms, including the…

### Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane

- Mathematics
- 2012

A bstractWe consider the worldsheet boundary scattering and the corresponding boundary algebras for the Z = 0 giant graviton and the Z = 0 D7-brane in the AdS/CFT correspondence. We consider two…

### The secret symmetries of the AdS/CFT reflection matrices

- Mathematics
- 2011

We find new twisted Yangian symmetries of the AdS/CFT reflection matrices for the Y=0 maximal giant graviton and D5-brane. These new symmetries originate from the known secret symmetries of the…

### String integrability of defect CFT and dynamical reflection matrices

- PhysicsJournal of High Energy Physics
- 2021

Abstract
The D3-D5 probe-brane system is holographically dual to a defect CFT which is known to be integrable. The evidence comes mainly from the study of correlation functions at weak coupling. In…

### The particle-hole transformation, supersymmetry and achiral boundaries of the open Hubbard model

- Physics
- 2014

We show that the particle-hole transformation in the Hubbard model has a crucial role in relating Shastry’s R-matrix to the AdS/CFT S-matrix. In addition, we construct an achiral boundary for the…

### Integrable domain walls in ABJM theory

- Mathematics, PhysicsJournal of High Energy Physics
- 2022

Abstract
One-point functions of local operators are studied, at weak and strong coupling, for the ABJM theory in the presence of a 1/2 BPS domain wall. In the underlying quantum spin chain the…

### Secret symmetries in AdS/CFT

- Physics
- 2012

We discuss special quantum group (secret) symmetries of the integrable system associated with the AdS/CFT correspondence. These symmetries have by now been observed in a variety of forms, including…

### Drinfel'd basis of twisted Yangians

- Mathematics
- 2014

We present a quantization of a Lie bi-ideal structure for twisted half-loop algebras of finite dimensional simple complex Lie algebras. We obtain Drinfel'd basis formalism and algebra closure…

### Integrable open spin-chains in AdS3/CFT2

- Mathematics, Physics
- 2015

We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open…

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