Vidas Regelskis

The quantum affine origin of the AdS/CFT secret symmetry

We find a new quantum affine symmetry of the S-matrix of the one-dimensional Hubbard chain. We show that this symmetry originates from the quantum affine superalgebra , and in the rational limit exactly reproduces the secret symmetry of the AdS/CFT worldsheet S-matrix.

Yangian symmetry of the Y=0 maximal giant graviton

We study the remnants of Yangian symmetry of AdS/CFT magnons reflecting from boundaries with no degrees of freedom. We present the generalized twisted boundary Yangian of open strings ending on boundaries which preserve only a subalgebra

Secret symmetries in AdS/CFT

\mathfrak{h}

Achiral boundaries and the twisted Yangian of the D5-brane

of the bulk algebra

The secret symmetries of the AdS/CFT reflection matrices

\mathfrak{g}

The Bound State S-matrix of the Deformed Hubbard Chain

, where

On the reflection of magnon bound states

\left( {\mathfrak{g},\mathfrak{h}} \right)

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

is a symmetric pair. This is realized by open strings ending on the D3 brane known as the Y = 0 maximal giant graviton in AdS5 × S5. We also consider the Yangian symmetry of the boundary which preserves an

Twisted Yangians for symmetric pairs of types B, C, D

\mathfrak{s}\mathfrak{u}\left( {\left. 1 \right|2} \right)

Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain

subalgebra only.