AdS3/CFT2 and q-Poincare' superalgebras

Understand

We discover that a certain deformation of the 1+1 dimensional Poincare' superalgebra is exactly realised in the massless sector of the AdS3/CFT2 integrable scattering problem.

• Deformed Poincar\'e superalgebras were previously noticed to appear in the AdS5/CFT4 correspondence - which displays only massive excitations -, but they were there only a partial symmetry.
• We obtain a representation of the boost operator and its coproduct, and show that the comultiplication exactly satisfies the homomorphism property.
• We present a classical limit, and finally speculate on an analogy with the physics of phonons.