Mathematica Summer School on Theoretical Physics

Day 4 was dedicated to Symmetry and S-matrices. Matthias Staudacher explained the relevant symmetry super algebra of AdS/CFT needed to describe the Hilbert space of the theory. In the Mathematica course it was explained how to use Mathematica to constrain the 2-particle S-matrix using both Yang-Baxter and symmetry. The exercises covered the connection between the Hubbard model and N=4 SYM, the Bethe ansatz 2 loop solution vs the direct spin chain Haniltonian diagonalizatiom, the S-matrix of the SO(n) sigma model and the AdS/CFT SU(2|2) S-matrix (also discussed in the lecture)