Achiral boundaries and the twisted Yangian of the D5-brane

Abstract

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.

21 pages, 6 figures; v2: typos corrected, refs added; v3: minor corrections made, published version

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• Representations of twisted Yangians of types B, C, D: I
• Twisted Yangians of small rank
• Drinfeld J Presentation of Twisted Yangians
• Reflection algebra, Yangian symmetry and bound-states in AdS/CFT
• Integrable crosscaps in classical sigma models
• From Twisted Quantum Loop Algebras to Twisted Yangians
• Affine $ı$quantum groups and twisted Yangians in Drinfeld presentations
• The particle-hole transformation, supersymmetry and achiral boundaries of the open Hubbard model
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Fusion for AdS/CFT boundary S-matrices
• Turbulence on open string worldsheets under non-integrable boundary conditions
• Twisted Yangian symmetry of the open Hubbard model